Pramana, ISSN 0304-4289, 12/2016, Volume 87, Issue 6, pp. 1 - 14

In this paper, we find exact solutions of some nonlinear evolution equations by using generalized tanh–coth method. Three nonlinear models of physical...

Astrophysics and Astroparticles | Generalized tanh–coth method | generalized ( G ′ / G )-expansion method | steady-state equation | Physics, general | Physics | Cahn–Hilliard equation | Astronomy, Observations and Techniques | Allen–Cahn equation | Steady-state equation | Cahn-Hilliard equation | Generalized tanh-coth method | Allen-Cahn equation | Generalized (G′/G)-expansion method | GORDON EQUATIONS | TRAVELING-WAVE SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | PARTIAL-DIFFERENTIAL-EQUATIONS | generalized (G '/G)-expansion method | VARIABLE-COEFFICIENT | ZAKHAROV-KUZNETSOV | Analysis | Methods | Differential equations

Astrophysics and Astroparticles | Generalized tanh–coth method | generalized ( G ′ / G )-expansion method | steady-state equation | Physics, general | Physics | Cahn–Hilliard equation | Astronomy, Observations and Techniques | Allen–Cahn equation | Steady-state equation | Cahn-Hilliard equation | Generalized tanh-coth method | Allen-Cahn equation | Generalized (G′/G)-expansion method | GORDON EQUATIONS | TRAVELING-WAVE SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | PARTIAL-DIFFERENTIAL-EQUATIONS | generalized (G '/G)-expansion method | VARIABLE-COEFFICIENT | ZAKHAROV-KUZNETSOV | Analysis | Methods | Differential equations

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 09/2010, Volume 217, Issue 1, pp. 376 - 383

In the present paper, the extended G′G-expansion method is used for a reliable treatment of the Pochhammer-Chree equations which include variety of models....

Kinks | Periodic solutions | Pochhammer-Chree equations | Solitons | The extended (G′/G)-expansion method | MATHEMATICS, APPLIED | TRAVELING-WAVE SOLUTIONS | The extended (G '/G)-expansion method | TANH-COTH | SOLITARY-WAVE | NONLINEAR EVOLUTION-EQUATIONS | Traveling waves | Mathematical models | Computation | Mathematical analysis

Kinks | Periodic solutions | Pochhammer-Chree equations | Solitons | The extended (G′/G)-expansion method | MATHEMATICS, APPLIED | TRAVELING-WAVE SOLUTIONS | The extended (G '/G)-expansion method | TANH-COTH | SOLITARY-WAVE | NONLINEAR EVOLUTION-EQUATIONS | Traveling waves | Mathematical models | Computation | Mathematical analysis

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2010, Volume 217, Issue 4, pp. 1749 - 1754

The ‘tanh–coth expansion method’ for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature....

Nonlinear evolution equations | The tanh-function expansion method | The tanh–coth-function expansion method | Solitary travelling-waves | The tanh-coth-function expansion method | FORMS | MATHEMATICS, APPLIED | TRAVELING-WAVE SOLUTIONS | SOLITONS SOLUTIONS | SINE-COSINE | KDV | Paper | Mathematical models | Computation | Mathematical analysis

Nonlinear evolution equations | The tanh-function expansion method | The tanh–coth-function expansion method | Solitary travelling-waves | The tanh-coth-function expansion method | FORMS | MATHEMATICS, APPLIED | TRAVELING-WAVE SOLUTIONS | SOLITONS SOLUTIONS | SINE-COSINE | KDV | Paper | Mathematical models | Computation | Mathematical analysis

Journal Article

Far East Journal of Mathematical Sciences, ISSN 0972-0871, 11/2017, Volume 102, Issue 10, pp. 2493 - 2500

Journal Article

Romanian Journal of Physics, ISSN 1221-146X, 2013, Volume 58, Issue 7-8, pp. 749 - 765

In this paper, we investigate the Klein-Gordon-Zakharov equations given in [Z.Y. Zhang et al., Z. Naturforsch. 67a, 167-172 (2012)] and obtain abundant exact...

Klein-gordon-zakharov equations | Jacobi elliptic function expansion method | The extended tanh-coth expansion method | Travelling wave solutions | FORMS | the extended tanh-coth expansion method | BIREFRINGENT FIBERS | PHYSICS, MULTIDISCIPLINARY | Klein-Gordon-Zakharov equations | SOLITONS SOLUTIONS | PERTURBATION | travelling wave solutions | NONLINEAR SCHRODINGERS EQUATION | BRIGHT

Klein-gordon-zakharov equations | Jacobi elliptic function expansion method | The extended tanh-coth expansion method | Travelling wave solutions | FORMS | the extended tanh-coth expansion method | BIREFRINGENT FIBERS | PHYSICS, MULTIDISCIPLINARY | Klein-Gordon-Zakharov equations | SOLITONS SOLUTIONS | PERTURBATION | travelling wave solutions | NONLINEAR SCHRODINGERS EQUATION | BRIGHT

Journal Article

AIP Conference Proceedings, ISSN 0094-243X, 2010, Volume 1281, Issue 1, pp. 2225 - 2228

Wazwaz [Appl. Math. Comput 195, 24-33 (2008)] has used the tanh-coth function method to find the solutions of the Pochhammer-Chree equation. In this article,...

The (G′/G)-expansion method | The equivalence of these methods | The Pochhammer-Chree equation | The tanh-coth function method | Exact solutions | DIFFERENTIAL EQUATIONS | MATHEMATICS | MATHEMATICAL SOLUTIONS | WAVE EQUATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CALCULATION METHODS | PARTIAL DIFFERENTIAL EQUATIONS | ALGEBRA | EQUATIONS | FUNCTIONAL ANALYSIS

The (G′/G)-expansion method | The equivalence of these methods | The Pochhammer-Chree equation | The tanh-coth function method | Exact solutions | DIFFERENTIAL EQUATIONS | MATHEMATICS | MATHEMATICAL SOLUTIONS | WAVE EQUATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CALCULATION METHODS | PARTIAL DIFFERENTIAL EQUATIONS | ALGEBRA | EQUATIONS | FUNCTIONAL ANALYSIS

Conference Proceeding

Journal of Computational Analysis and Applications, ISSN 1521-1398, 2016, Volume 21, Issue 1, pp. 62 - 82

In this article, we investigate the combined KdV-MKdV equation to obtain new exact traveling wave solutions via the generalized Riccati equation mapping...

Nonlinear evolution equations | The generalized Riccati equation | Traveling wave solutions | (Gʹ=G)-expansion method | Exp-function method | (G '/G)-expansion method | EXPANSION METHOD | TRAVELING-WAVE SOLUTIONS | traveling wave solutions | TANH-COTH METHOD | COMPUTER SCIENCE, THEORY & METHODS | nonlinear evolution equations

Nonlinear evolution equations | The generalized Riccati equation | Traveling wave solutions | (Gʹ=G)-expansion method | Exp-function method | (G '/G)-expansion method | EXPANSION METHOD | TRAVELING-WAVE SOLUTIONS | traveling wave solutions | TANH-COTH METHOD | COMPUTER SCIENCE, THEORY & METHODS | nonlinear evolution equations

Journal Article

Optik, ISSN 0030-4026, 02/2019, Volume 178, pp. 488 - 508

The soliton ansatz method, the tanh-coth method, the modified simple equation method, the new extended auxiliary equation method, the new mapping method, the...

New extended auxiliary equation method | Soliton ansatz method | Optical soliton solutions | New mapping method | Anti-cubic nonlinearity | Generalized Kudryashov method | Modified simple equation method | Rational (G′/G)-expansion method | Tanh-coth method | 94.05.Fg | 05.45.Yv | 42.65.Tg | 02.30.Jr | 42.65.k | OPTICAL SOLITON PERTURBATION | TANH METHOD | DISPERSION | MAPPING METHOD | 1-SOLITON SOLUTION | TRAVELING-WAVE SOLUTIONS | DYNAMICS | RICCATI EQUATION | OPTICS | Rational (G '/G)-expansion method

New extended auxiliary equation method | Soliton ansatz method | Optical soliton solutions | New mapping method | Anti-cubic nonlinearity | Generalized Kudryashov method | Modified simple equation method | Rational (G′/G)-expansion method | Tanh-coth method | 94.05.Fg | 05.45.Yv | 42.65.Tg | 02.30.Jr | 42.65.k | OPTICAL SOLITON PERTURBATION | TANH METHOD | DISPERSION | MAPPING METHOD | 1-SOLITON SOLUTION | TRAVELING-WAVE SOLUTIONS | DYNAMICS | RICCATI EQUATION | OPTICS | Rational (G '/G)-expansion method

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 09/2009, Volume 14, Issue 9-10, pp. 3507 - 3529

We analyze the common errors of the recent papers in which the solitary wave solutions of nonlinear differential equations are presented. Seven common errors...

Tanh-function method | Nonlinear evolution equation | Common error | Truncated expansion method | Exp-function method | Exact solution | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | EVOLUTION-EQUATIONS | PHYSICS, MATHEMATICAL | MULTIPLE-SOLITON-SOLUTIONS | BACKLUND TRANSFORMATION | (G'/G)-EXPANSION METHOD | TRAVELING-WAVE SOLUTIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TANH-COTH METHOD | GENERAL BURGERS-FISHER | KURAMOTO-SIVASHINSKY EQUATION | Differential equations | Physics - Exactly Solvable and Integrable Systems

Tanh-function method | Nonlinear evolution equation | Common error | Truncated expansion method | Exp-function method | Exact solution | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | EVOLUTION-EQUATIONS | PHYSICS, MATHEMATICAL | MULTIPLE-SOLITON-SOLUTIONS | BACKLUND TRANSFORMATION | (G'/G)-EXPANSION METHOD | TRAVELING-WAVE SOLUTIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TANH-COTH METHOD | GENERAL BURGERS-FISHER | KURAMOTO-SIVASHINSKY EQUATION | Differential equations | Physics - Exactly Solvable and Integrable Systems

Journal Article

10.
Full Text
New Exact Traveling Wave Solutions of Some Nonlinear Higher-Dimensional Physical Models

Reports on Mathematical Physics, ISSN 0034-4877, 08/2012, Volume 70, Issue 1, pp. 39 - 50

In this paper, some new traveling wave solutions of the (4 + 1)-dimensional Fokas equation, (3 + 1)-dimensional Jumbo–Miwa equation and (2 + 1)-dimensional...

[formula omitted]-expansion method | higher-dimensional nonlinear equations | traveling wave solutions | (G′?G)-expansion method | Higher-dimensional nonlinear equations | Traveling wave solutions | PERIODIC-SOLUTIONS | MKDV EQUATION | SINE-GORDON EQUATION | EVOLUTION-EQUATIONS | SUB-ODE METHOD | PHYSICS, MATHEMATICAL | (G '/G)-expansion method | VARIATIONAL ITERATION METHOD | (G'/G)-EXPANSION METHOD | TANH-COTH METHOD | KDV | SOLITON

[formula omitted]-expansion method | higher-dimensional nonlinear equations | traveling wave solutions | (G′?G)-expansion method | Higher-dimensional nonlinear equations | Traveling wave solutions | PERIODIC-SOLUTIONS | MKDV EQUATION | SINE-GORDON EQUATION | EVOLUTION-EQUATIONS | SUB-ODE METHOD | PHYSICS, MATHEMATICAL | (G '/G)-expansion method | VARIATIONAL ITERATION METHOD | (G'/G)-EXPANSION METHOD | TANH-COTH METHOD | KDV | SOLITON

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 11/2018, Volume 41, Issue 16, pp. 6312 - 6325

In this paper, a system representing the coupling between the nonlinear Schrödinger equation and the inviscid burgers equation in modeling the interactions...

rational function solution | trigonometric function solution | complex function solution | hyperbolic function solution | exponential function solution | improved Bernoulli subequation function method | nonlinear Schrödinger equation | Schrödinger‐inviscid burgers system | improved tan(Φ(ξ)/2)‐expansion method | Schrödinger-inviscid burgers system | improved tan(Φ(ξ)/2)-expansion method | EXPANSION METHOD | MATHEMATICS, APPLIED | nonlinear Schrodinger equation | Schrodinger-inviscid burgers system | WHITHAM-BROER-KAUP | TRAVELING-WAVE SOLUTIONS | TANH-COTH METHOD | improved content style-type=mathematics tan(phi | LIE SYMMETRY ANALYSIS | 2)-content>-expansion method | RICCATI EQUATION | ZAKHAROV-KUZNETSOV | Nonlinear equations | Computational fluid dynamics | Rational functions | Nonlinear evolution equations | Schroedinger equation | Hyperbolic functions | Burgers equation | Trigonometric functions

rational function solution | trigonometric function solution | complex function solution | hyperbolic function solution | exponential function solution | improved Bernoulli subequation function method | nonlinear Schrödinger equation | Schrödinger‐inviscid burgers system | improved tan(Φ(ξ)/2)‐expansion method | Schrödinger-inviscid burgers system | improved tan(Φ(ξ)/2)-expansion method | EXPANSION METHOD | MATHEMATICS, APPLIED | nonlinear Schrodinger equation | Schrodinger-inviscid burgers system | WHITHAM-BROER-KAUP | TRAVELING-WAVE SOLUTIONS | TANH-COTH METHOD | improved content style-type=mathematics tan(phi | LIE SYMMETRY ANALYSIS | 2)-content>-expansion method | RICCATI EQUATION | ZAKHAROV-KUZNETSOV | Nonlinear equations | Computational fluid dynamics | Rational functions | Nonlinear evolution equations | Schroedinger equation | Hyperbolic functions | Burgers equation | Trigonometric functions

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 2/2018, Volume 91, Issue 3, pp. 1619 - 1626

In this paper, we establish a new nonlinear equation which is called the two-mode Korteweg–de Vries–Burgers equation (TMKdV–BE). The new equation describes the...

74J35 | Engineering | Vibration, Dynamical Systems, Control | Two-mode KdV–Burgers equation | Tanh–coth expansion method | Classical Mechanics | Simplified bilinear method | Automotive Engineering | Mechanical Engineering | 35C08 | MATHEMATICAL PHYSICS | MECHANICS | SOLITONS | Two-mode KdV-Burgers equation | SOLITARY WAVE SOLUTIONS | SYSTEMS | Tanh-coth expansion method | KDV EQUATION | EVOLUTION-EQUATIONS | ENGINEERING, MECHANICAL | Series (mathematics) | Nonlinear equations | Wave propagation | Burgers equation

74J35 | Engineering | Vibration, Dynamical Systems, Control | Two-mode KdV–Burgers equation | Tanh–coth expansion method | Classical Mechanics | Simplified bilinear method | Automotive Engineering | Mechanical Engineering | 35C08 | MATHEMATICAL PHYSICS | MECHANICS | SOLITONS | Two-mode KdV-Burgers equation | SOLITARY WAVE SOLUTIONS | SYSTEMS | Tanh-coth expansion method | KDV EQUATION | EVOLUTION-EQUATIONS | ENGINEERING, MECHANICAL | Series (mathematics) | Nonlinear equations | Wave propagation | Burgers equation

Journal Article

Central European Journal of Physics, ISSN 1895-1082, 4/2013, Volume 11, Issue 4, pp. 518 - 525

The shallow water equations have wide applications in ocean, atmospheric modeling and hydraulic engineering, also they can be used to model flows in rivers and...

Environmental Physics | nonlinear shallow water equations | Physical Chemistry | nonlinear physical phenomena | frac{{G'}} {G} $ -expansion method | Geophysics/Geodesy | Biophysics and Biological Physics | Physics, general | time dependent nonlinear system of shallow water | Physics | G-expansion method | PHYSICS, MULTIDISCIPLINARY | ELLIPTIC FUNCTION-METHOD | KADOMTSEV-PETVIASHVILI EQUATION | HOMOGENEOUS BALANCE METHOD | (G'/G)-EXPANSION METHOD | TRAVELING-WAVE SOLUTIONS | TANH-COTH METHOD | SINE-COSINE | EXP-FUNCTION METHOD | INVERSE-SCATTERING METHOD | MULTIPLE-SOLITON SOLUTIONS | G '/G-expansion method

Environmental Physics | nonlinear shallow water equations | Physical Chemistry | nonlinear physical phenomena | frac{{G'}} {G} $ -expansion method | Geophysics/Geodesy | Biophysics and Biological Physics | Physics, general | time dependent nonlinear system of shallow water | Physics | G-expansion method | PHYSICS, MULTIDISCIPLINARY | ELLIPTIC FUNCTION-METHOD | KADOMTSEV-PETVIASHVILI EQUATION | HOMOGENEOUS BALANCE METHOD | (G'/G)-EXPANSION METHOD | TRAVELING-WAVE SOLUTIONS | TANH-COTH METHOD | SINE-COSINE | EXP-FUNCTION METHOD | INVERSE-SCATTERING METHOD | MULTIPLE-SOLITON SOLUTIONS | G '/G-expansion method

Journal Article

Romanian Journal of Physics, ISSN 1221-146X, 2014, Volume 59, Issue 5-6, pp. 433 - 442

This paper studies a few fractional nonlinear equations from mathematical physics. The fractional derivatives are in the sense of modified Riemann-Liouville...

Double sine-Poisson equation | G'/G-expansion method | Double sinh-Poisson equation | Modified Riemann-Liouville fractional derivative | Liouville equation | double sine-Poisson equation | PHYSICS, MULTIDISCIPLINARY | ELLIPTIC FUNCTION-METHOD | CHIRAL SOLITONS | modified Riemann-Liouville fractional derivative | G/G-expansion method | KADOMTSEV-PETVIASHVILI EQUATION | TRAVELING-WAVE SOLUTIONS | SINE-COSINE | double sinh-Poisson equation | WATER WAVES | KDV EQUATION | TANH-COTH | POWER-LAW NONLINEARITY

Double sine-Poisson equation | G'/G-expansion method | Double sinh-Poisson equation | Modified Riemann-Liouville fractional derivative | Liouville equation | double sine-Poisson equation | PHYSICS, MULTIDISCIPLINARY | ELLIPTIC FUNCTION-METHOD | CHIRAL SOLITONS | modified Riemann-Liouville fractional derivative | G/G-expansion method | KADOMTSEV-PETVIASHVILI EQUATION | TRAVELING-WAVE SOLUTIONS | SINE-COSINE | double sinh-Poisson equation | WATER WAVES | KDV EQUATION | TANH-COTH | POWER-LAW NONLINEARITY

Journal Article

Superlattices and Microstructures, ISSN 0749-6036, 05/2017, Volume 105, pp. 183 - 197

In this work, the soliton solutions of the fourth-order nonlinear Schrödinger equation (NLSE) with dual-power law nonlinearity is analyzed using...

NLSE | Ricatti-Bernouli sub-ODE method and modified Tanh-Coth method | Dual power law | PHYSICS, CONDENSED MATTER | BIREFRINGENT FIBERS | PERTURBATION | DARK | METAMATERIALS | SCHEME | TRAVELING-WAVE SOLUTIONS | FRACTIONAL-TEMPORAL EVOLUTION | CONSERVATION-LAWS | KUNDU-ECKHAUS EQUATION | G'/G-EXPANSION

NLSE | Ricatti-Bernouli sub-ODE method and modified Tanh-Coth method | Dual power law | PHYSICS, CONDENSED MATTER | BIREFRINGENT FIBERS | PERTURBATION | DARK | METAMATERIALS | SCHEME | TRAVELING-WAVE SOLUTIONS | FRACTIONAL-TEMPORAL EVOLUTION | CONSERVATION-LAWS | KUNDU-ECKHAUS EQUATION | G'/G-EXPANSION

Journal Article

International Journal of Numerical Methods for Heat & Fluid Flow, ISSN 0961-5539, 08/2011, Volume 21, Issue 6, pp. 736 - 753

Purpose - The purpose of this paper is to use He's Exp-function method (EFM) to construct solitary and soliton solutions of the nonlinear evolution...

Solitary and soliton solutions | Population genetics | Fitzhugh-Nagumo equation | The Exp-function method | PERIODIC-SOLUTIONS | ELLIPTIC FUNCTION-METHOD | F-EXPANSION METHOD | HOMOTOPY PERTURBATION METHOD | VARIATIONAL ITERATION METHOD | ADOMIAN-PADE TECHNIQUE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TANH-COTH METHOD | THERMODYNAMICS | SOLITARY WAVE SOLUTIONS | NONLINEAR EVOLUTION-EQUATIONS | Studies | Evolution | Mathematical models | Partial differential equations

Solitary and soliton solutions | Population genetics | Fitzhugh-Nagumo equation | The Exp-function method | PERIODIC-SOLUTIONS | ELLIPTIC FUNCTION-METHOD | F-EXPANSION METHOD | HOMOTOPY PERTURBATION METHOD | VARIATIONAL ITERATION METHOD | ADOMIAN-PADE TECHNIQUE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TANH-COTH METHOD | THERMODYNAMICS | SOLITARY WAVE SOLUTIONS | NONLINEAR EVOLUTION-EQUATIONS | Studies | Evolution | Mathematical models | Partial differential equations

Journal Article

Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 12/2015, Volume 8, Issue 6, pp. 1155 - 1164

This paper obtains soliton and other solutions to the Gardner-Kadomtsev-Petviashvili equation that models shallow water wave equation in (1+2)-dimensions....

Traveling waves | Gardner-KP equation | G'/G-expansion | Tanh-coth method | CONVECTIVE FLOW | MATHEMATICS, APPLIED | SCHRODINGERS EQUATION | tanh-coth method | MODEL | RADIATION | (G'/G)-EXPANSION METHOD | SOLITONS | G '/G-expansion | traveling waves | POWER-LAW NONLINEARITY | NONLINEAR EVOLUTION-EQUATIONS

Traveling waves | Gardner-KP equation | G'/G-expansion | Tanh-coth method | CONVECTIVE FLOW | MATHEMATICS, APPLIED | SCHRODINGERS EQUATION | tanh-coth method | MODEL | RADIATION | (G'/G)-EXPANSION METHOD | SOLITONS | G '/G-expansion | traveling waves | POWER-LAW NONLINEARITY | NONLINEAR EVOLUTION-EQUATIONS

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2009, Volume 14, Issue 4, pp. 1069 - 1077

In this paper, we establish exact solutions for complex nonlinear equations. The tanh–coth and the sine–cosine methods are used to construct exact periodic and...

Tanh–coth method | Maccari system | Sine–cosine method | Coupled Higgs equation | Solitons | Exact solutions | Sine-cosine method | Tanh-coth method | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | IMPROVED F-EXPANSION | ELLIPTIC FUNCTION-METHOD | EXTENDED TANH METHOD | EVOLUTION-EQUATIONS | PHYSICS, MATHEMATICAL | HOMOGENEOUS BALANCE METHOD | FORMS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BOUSSINESQ | MULTIPLE-SOLITON SOLUTIONS | COTH | Nonlinear equations | Computer simulation | Mathematical analysis | Nonlinearity | Traveling waves | Mathematical models

Tanh–coth method | Maccari system | Sine–cosine method | Coupled Higgs equation | Solitons | Exact solutions | Sine-cosine method | Tanh-coth method | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | IMPROVED F-EXPANSION | ELLIPTIC FUNCTION-METHOD | EXTENDED TANH METHOD | EVOLUTION-EQUATIONS | PHYSICS, MATHEMATICAL | HOMOGENEOUS BALANCE METHOD | FORMS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BOUSSINESQ | MULTIPLE-SOLITON SOLUTIONS | COTH | Nonlinear equations | Computer simulation | Mathematical analysis | Nonlinearity | Traveling waves | Mathematical models

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 05/2009, Volume 14, Issue 5, pp. 1804 - 1809

In this work, we established the exact solutions for some nonlinear physical models. The tanh–coth method was used to construct solitary wave solutions of...

Tanh–coth method | Foam drainage equation | (2 + 1)-Dimensional coupled nonlinear extension of the reaction–diffusion (CNLERD) equations | Solitons | (2 + 1)-Dimensional coupled nonlinear extension of the reaction-diffusion (CNLERD) equations | Tanh-coth method | GORDON EQUATIONS | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | EVOLUTION-EQUATIONS | PHYSICS, MATHEMATICAL | HOMOGENEOUS BALANCE METHOD | FORMS | (G'/G)-EXPANSION METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BOUSSINESQ | PROLONGATION STRUCTURE | (2+1)-Dimensional coupled nonlinear extension of the reaction-diffusion (CNLERD) equations | Models | Methods | Universities and colleges | Computer simulation | Mathematical analysis | Materials handling | Exact solutions | Nonlinear evolution equations | Nonlinearity | Mathematical models | Solitary waves

Tanh–coth method | Foam drainage equation | (2 + 1)-Dimensional coupled nonlinear extension of the reaction–diffusion (CNLERD) equations | Solitons | (2 + 1)-Dimensional coupled nonlinear extension of the reaction-diffusion (CNLERD) equations | Tanh-coth method | GORDON EQUATIONS | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | EVOLUTION-EQUATIONS | PHYSICS, MATHEMATICAL | HOMOGENEOUS BALANCE METHOD | FORMS | (G'/G)-EXPANSION METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BOUSSINESQ | PROLONGATION STRUCTURE | (2+1)-Dimensional coupled nonlinear extension of the reaction-diffusion (CNLERD) equations | Models | Methods | Universities and colleges | Computer simulation | Mathematical analysis | Materials handling | Exact solutions | Nonlinear evolution equations | Nonlinearity | Mathematical models | Solitary waves

Journal Article

Optik, ISSN 0030-4026, 11/2018, Volume 172, pp. 822 - 825

Recently, a new family of nonlinear physical models under the name of dual-mode nonlinear equations has been arisen. Several real-valued dual-mode equations...

Right-left moving waves | Dual-mode Schrödinger equation | Tanh-coth-expansion method | 060.5530 | 060.2310 | 060.4510 | 190.4370 | 190.3270 | Dual-mode Schrodinger equation | BURGERS | OPTICS | MULTIPLE-SOLITON-SOLUTIONS

Right-left moving waves | Dual-mode Schrödinger equation | Tanh-coth-expansion method | 060.5530 | 060.2310 | 060.4510 | 190.4370 | 190.3270 | Dual-mode Schrodinger equation | BURGERS | OPTICS | MULTIPLE-SOLITON-SOLUTIONS

Journal Article

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