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

Physics Letters A, ISSN 0375-9601, 2006, Volume 356, Issue 2, pp. 119 - 123

A further improved extended Fan sub-equation method is proposed to seek more types of exact solutions of non-linear partial differential equations. Applying...

Triangular-like solutions | Weierstrass elliptic doubly-like periodic solutions | The modified extended Fan sub-equation method | Jacobi elliptic wave function-like solutions | Soliton-like solutions | EXPANSION METHOD | SERIES | PHYSICS, MULTIDISCIPLINARY | soliton-like solutions | KDV-BURGERS EQUATION | VARIANT BOUSSINESQ EQUATIONS | TRAVELING-WAVE SOLUTIONS | MKDV | PARTIAL-DIFFERENTIAL-EQUATIONS | triangular-like solutions | COEFFICIENTS | the modified extended Fan sub-equation method

Triangular-like solutions | Weierstrass elliptic doubly-like periodic solutions | The modified extended Fan sub-equation method | Jacobi elliptic wave function-like solutions | Soliton-like solutions | EXPANSION METHOD | SERIES | PHYSICS, MULTIDISCIPLINARY | soliton-like solutions | KDV-BURGERS EQUATION | VARIANT BOUSSINESQ EQUATIONS | TRAVELING-WAVE SOLUTIONS | MKDV | PARTIAL-DIFFERENTIAL-EQUATIONS | triangular-like solutions | COEFFICIENTS | the modified extended Fan sub-equation method

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 10/2010, Volume 15, Issue 10, pp. 2778 - 2790

Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for...

Kuramoto–Sivashinsky equation | Laurent series | Korteweg–de Vries equation | Nonlinear ordinary differential equation | Kawahara equation | Riccati equation | Burgers equation | Exp-function method | Exact solution | Meromorphic solution | Korteweg-de Vries equation | Kuramoto-Sivashinsky equation | EXPANSION METHOD | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | OSTROVSKY EQUATION | NONINTEGRABLE EQUATIONS | PHYSICS, MATHEMATICAL | TRAVELING-WAVE SOLUTIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | EVOLUTION EQUATION | SYMBOLIC COMPUTATION | KDV-BURGERS EQUATIONS | FISHER EQUATION | Differential equations | Nonlinearity | Mathematical models | Computer simulation | Mathematical analysis | Exact solutions | Physics - Exactly Solvable and Integrable Systems

Kuramoto–Sivashinsky equation | Laurent series | Korteweg–de Vries equation | Nonlinear ordinary differential equation | Kawahara equation | Riccati equation | Burgers equation | Exp-function method | Exact solution | Meromorphic solution | Korteweg-de Vries equation | Kuramoto-Sivashinsky equation | EXPANSION METHOD | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | OSTROVSKY EQUATION | NONINTEGRABLE EQUATIONS | PHYSICS, MATHEMATICAL | TRAVELING-WAVE SOLUTIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | EVOLUTION EQUATION | SYMBOLIC COMPUTATION | KDV-BURGERS EQUATIONS | FISHER EQUATION | Differential equations | Nonlinearity | Mathematical models | Computer simulation | Mathematical analysis | Exact solutions | Physics - Exactly Solvable and Integrable Systems

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 09/2017, Volume 481, pp. 52 - 59

In this paper, a new continuum model based on full velocity difference car following model is developed with the consideration of driver’s anticipation effect....

Continuum model | Anticipation effect | Traffic flow | KdV–Burgers equation | CAR-FOLLOWING MODEL | DYNAMICAL MODEL | PHYSICS, MULTIDISCIPLINARY | KdV-Burgers equation | DRIVERS BOUNDED RATIONALITY | KINEMATIC WAVES | SIMULATION | NUMERICAL TESTS | LATTICE MODEL | JAMS | Traffic congestion | Numerical analysis

Continuum model | Anticipation effect | Traffic flow | KdV–Burgers equation | CAR-FOLLOWING MODEL | DYNAMICAL MODEL | PHYSICS, MULTIDISCIPLINARY | KdV-Burgers equation | DRIVERS BOUNDED RATIONALITY | KINEMATIC WAVES | SIMULATION | NUMERICAL TESTS | LATTICE MODEL | JAMS | Traffic congestion | Numerical analysis

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2006, Volume 182, Issue 2, pp. 1651 - 1660

In this paper, a further improved extended Fan sub-equation method is proposed by taking a more general transformation to seek more types of exact solutions of...

Triangular-like solutions | Weierstrass elliptic doubly-like periodic solutions | The modified extended Fan sub-equation method | Jacobi elliptic wave function-like solutions | Soliton-like solutions | VARIATIONAL-PRINCIPLES | MATHEMATICS, APPLIED | F-EXPANSION | ELLIPTIC FUNCTION EXPANSION | soliton-like solutions | HOMOTOPY PERTURBATION METHOD | KDV-BURGERS EQUATION | PERIODIC-WAVE SOLUTIONS | VARIANT BOUSSINESQ EQUATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | triangular-like solutions | NONLINEAR EVOLUTION-EQUATIONS | TANH-FUNCTION METHOD | the modified extended Fan sub-equation method

Triangular-like solutions | Weierstrass elliptic doubly-like periodic solutions | The modified extended Fan sub-equation method | Jacobi elliptic wave function-like solutions | Soliton-like solutions | VARIATIONAL-PRINCIPLES | MATHEMATICS, APPLIED | F-EXPANSION | ELLIPTIC FUNCTION EXPANSION | soliton-like solutions | HOMOTOPY PERTURBATION METHOD | KDV-BURGERS EQUATION | PERIODIC-WAVE SOLUTIONS | VARIANT BOUSSINESQ EQUATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | triangular-like solutions | NONLINEAR EVOLUTION-EQUATIONS | TANH-FUNCTION METHOD | the modified extended Fan sub-equation method

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2008, Volume 222, Issue 2, pp. 333 - 350

In this paper, we elaborated a spectral collocation method based on differentiated Chebyshev polynomials to obtain numerical solutions for some different kinds...

2D Burgers’ equation | Chebyshev spectral collocation method | 1D Burgers’ equation | Numerical solutions | Coupled Burgers’ equations | System of 2D Burgers’ equations | KdV–Burgers’ equation | KdV-Burgers' equation | 1D Burgers' equation | 2D Burgers' equation | System of 2D Burgers' equations | Coupled Burgers' equations | KdV-Burger' equation | INVARIANT SOLUTIONS | MATHEMATICS, APPLIED | PSEUDO-SPHERICAL SURFACES | SIMILARITY SOLUTIONS | DIFFUSION EQUATION | 1D Bugers' equation | System of 2D Burgers' equation | TRAVELING-WAVE SOLUTIONS | POTENTIAL SYMMETRIES | BACKLUND-TRANSFORMATIONS | NUMERICAL-SOLUTIONS | ADOMIAN DECOMPOSITION METHOD | NONLINEAR EVOLUTION-EQUATIONS

2D Burgers’ equation | Chebyshev spectral collocation method | 1D Burgers’ equation | Numerical solutions | Coupled Burgers’ equations | System of 2D Burgers’ equations | KdV–Burgers’ equation | KdV-Burgers' equation | 1D Burgers' equation | 2D Burgers' equation | System of 2D Burgers' equations | Coupled Burgers' equations | KdV-Burger' equation | INVARIANT SOLUTIONS | MATHEMATICS, APPLIED | PSEUDO-SPHERICAL SURFACES | SIMILARITY SOLUTIONS | DIFFUSION EQUATION | 1D Bugers' equation | System of 2D Burgers' equation | TRAVELING-WAVE SOLUTIONS | POTENTIAL SYMMETRIES | BACKLUND-TRANSFORMATIONS | NUMERICAL-SOLUTIONS | ADOMIAN DECOMPOSITION METHOD | NONLINEAR EVOLUTION-EQUATIONS

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 07/2015, Volume 293, pp. 81 - 95

In this paper, explicit and approximate solutions of the nonlinear fractional KdV-Burgers equation with time-space-fractional derivatives are presented and...

Caputo's fractional derivative | Power series solution | Fractional KdV-Burgers equation | Algorithms | Construction | Approximation | Mathematical analysis | Series (mathematics) | Nonlinearity | Taylor series | Mathematical models | Derivatives

Caputo's fractional derivative | Power series solution | Fractional KdV-Burgers equation | Algorithms | Construction | Approximation | Mathematical analysis | Series (mathematics) | Nonlinearity | Taylor series | Mathematical models | Derivatives

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 8/2015, Volume 81, Issue 3, pp. 1191 - 1196

The article proposes the three different types of envelope solitons: bright, dark and singular, to compound KdV–Burgers equation. The equation has been...

Engineering | Vibration, Dynamical Systems, Control | Dark soliton | Singular soliton | Compound KdV–Burgers equation | Mechanics | Automotive Engineering | Mechanical Engineering | Bright soliton | Solitary wave ansatz | SOLITARY WAVE | DARK SOLITONS | SCHRODINGERS EQUATION | OPTICAL SOLITONS | ENGINEERING, MECHANICAL | TRAVELING-WAVE SOLUTIONS | MECHANICS | 1ST INTEGRAL METHOD | LONG-WAVE | TIME-DEPENDENT COEFFICIENTS | Compound KdV-Burgers equation | EXPLICIT | Laws, regulations and rules | Plasma physics | Nonlinearity | Linear equations | Parameter identification | Burgers equation | Power law | Plasma (physics) | Solitary waves

Engineering | Vibration, Dynamical Systems, Control | Dark soliton | Singular soliton | Compound KdV–Burgers equation | Mechanics | Automotive Engineering | Mechanical Engineering | Bright soliton | Solitary wave ansatz | SOLITARY WAVE | DARK SOLITONS | SCHRODINGERS EQUATION | OPTICAL SOLITONS | ENGINEERING, MECHANICAL | TRAVELING-WAVE SOLUTIONS | MECHANICS | 1ST INTEGRAL METHOD | LONG-WAVE | TIME-DEPENDENT COEFFICIENTS | Compound KdV-Burgers equation | EXPLICIT | Laws, regulations and rules | Plasma physics | Nonlinearity | Linear equations | Parameter identification | Burgers equation | Power law | Plasma (physics) | Solitary waves

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2004, Volume 152, Issue 2, pp. 581 - 595

Based on the computerized symbolic system Maple and a Riccati equation, a generalized Riccati equation expansion method for constructing soliton-like solutions...

(3 + 1)-dimensional Jumbo–Miwa equation | Symbolic computation | Generalized Riccati equation expansion method | Soliton-like solutions | (3 + 1)-dimensional Jumbo-Miwa equation | KDV-BURGERS-EQUATION | generalized Riccati equation expansion method | ORDER | MATHEMATICS, APPLIED | soliton-like solutions | EXPLICIT EXACT-SOLUTIONS | TERMS | symbolic computation | SOLITARY WAVE SOLUTIONS | NONLINEAR EVOLUTION-EQUATIONS | TANH-FUNCTION METHOD | (3+1)-dimensional Jumbo-Miwa equation

(3 + 1)-dimensional Jumbo–Miwa equation | Symbolic computation | Generalized Riccati equation expansion method | Soliton-like solutions | (3 + 1)-dimensional Jumbo-Miwa equation | KDV-BURGERS-EQUATION | generalized Riccati equation expansion method | ORDER | MATHEMATICS, APPLIED | soliton-like solutions | EXPLICIT EXACT-SOLUTIONS | TERMS | symbolic computation | SOLITARY WAVE SOLUTIONS | NONLINEAR EVOLUTION-EQUATIONS | TANH-FUNCTION METHOD | (3+1)-dimensional Jumbo-Miwa equation

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 08/2017, Volume 40, Issue 12, pp. 4350 - 4363

An application of the G′/G‐expansion method to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for...

exact traveling wave solutions | K(n,n)–Burger equations | solitary wave and periodic wave solutions | the G′/G‐expansion method | variants of the KdV–Burger | the G′/G-expansion method | MATHEMATICS, APPLIED | the G '/G-expansion method | 1-SOLITON SOLUTION | SHALLOW-WATER WAVES | K(n,n)-Burger equations | EVOLUTION-EQUATIONS | NONLINEAR SCHRODINGER-EQUATION | KADOMTSEV-PETVIASHVILI EQUATION | OPTICAL SOLITON-SOLUTIONS | BACKLUND TRANSFORMATION | VARIABLE-COEFFICIENTS | variants of the KdV-Burger | PARTIAL-DIFFERENTIAL-EQUATIONS | TANH-FUNCTION METHOD | Cytokinins | Methods | Nonlinear evolution equations | Nonlinear programming | Partial differential equations | Nonlinear differential equations | Exact solutions

exact traveling wave solutions | K(n,n)–Burger equations | solitary wave and periodic wave solutions | the G′/G‐expansion method | variants of the KdV–Burger | the G′/G-expansion method | MATHEMATICS, APPLIED | the G '/G-expansion method | 1-SOLITON SOLUTION | SHALLOW-WATER WAVES | K(n,n)-Burger equations | EVOLUTION-EQUATIONS | NONLINEAR SCHRODINGER-EQUATION | KADOMTSEV-PETVIASHVILI EQUATION | OPTICAL SOLITON-SOLUTIONS | BACKLUND TRANSFORMATION | VARIABLE-COEFFICIENTS | variants of the KdV-Burger | PARTIAL-DIFFERENTIAL-EQUATIONS | TANH-FUNCTION METHOD | Cytokinins | Methods | Nonlinear evolution equations | Nonlinear programming | Partial differential equations | Nonlinear differential equations | Exact solutions

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2006, Volume 361, Issue 2, pp. 394 - 404

By means of the modified extended tanh-function (METF) method the multiple travelling wave solutions of some different kinds of nonlinear partial differential...

The METF method | Burgers’ equation | Two-dimensional Burgers’ equations | Coupled Burgers’ equations | KdV–Burgers’ equation | KdV-Burgers' equation | Burgers' equation | Two-dimensional Burgers' equations | Coupled Burgers' equations | TRANSFORMATION | coupled burgers' equations | PHYSICS, MULTIDISCIPLINARY | DECOMPOSITION METHOD | COUPLED KDV EQUATION | two-dimensional Burgers' equations | KORTEWEG-DEVRIES EQUATION | PARTIAL-DIFFERENTIAL EQUATIONS | SOLITARY WAVE SOLUTIONS | the METF method | NONLINEAR EVOLUTION-EQUATIONS

The METF method | Burgers’ equation | Two-dimensional Burgers’ equations | Coupled Burgers’ equations | KdV–Burgers’ equation | KdV-Burgers' equation | Burgers' equation | Two-dimensional Burgers' equations | Coupled Burgers' equations | TRANSFORMATION | coupled burgers' equations | PHYSICS, MULTIDISCIPLINARY | DECOMPOSITION METHOD | COUPLED KDV EQUATION | two-dimensional Burgers' equations | KORTEWEG-DEVRIES EQUATION | PARTIAL-DIFFERENTIAL EQUATIONS | SOLITARY WAVE SOLUTIONS | the METF method | NONLINEAR EVOLUTION-EQUATIONS

Journal Article

JOURNAL OF COMPUTATIONAL PHYSICS, ISSN 0021-9991, 07/2015, Volume 293, pp. 81 - 95

In this paper, explicit and approximate solutions of the nonlinear fractional KdV-Burgers equation with time-space-fractional derivatives are presented and...

ORDER | Power series solution | WAVES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Caputo's fractional derivative | HOMOTOPY PERTURBATION METHOD | PHYSICS, MATHEMATICAL | Fractional KdV-Burgers equation

ORDER | Power series solution | WAVES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Caputo's fractional derivative | HOMOTOPY PERTURBATION METHOD | PHYSICS, MATHEMATICAL | Fractional KdV-Burgers equation

Journal Article

Physica Scripta, ISSN 0031-8949, 01/2019, Volume 94, Issue 4, p. 45602

The possibility of finding chaos in a KdV like system in the absence of any external forcing is explored without reducing its order by treating it as a third...

solitary wave | KdV-Burgers equation | chaos | WAVES | SOLITONS | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | KORTEWEG-DEVRIES

solitary wave | KdV-Burgers equation | chaos | WAVES | SOLITONS | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | KORTEWEG-DEVRIES

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 01/2019, Volume 66, pp. 129 - 146

•New exact traveling wave solutions of a generalized KdV–Burgers equation are constructed.•The nonlinearity is specified as a piecewise linear flux function...

Traveling wave | Generalized KdV–Burgers equation | Dispersion | Undercompressive shock | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | NONSTATIONARY SOLUTIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SPECTRAL STABILITY | Generalized KdV-Burgers equation | HOPF EQUATION | MEDIA | CONSERVATION-LAWS | Shock

Traveling wave | Generalized KdV–Burgers equation | Dispersion | Undercompressive shock | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | NONSTATIONARY SOLUTIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SPECTRAL STABILITY | Generalized KdV-Burgers equation | HOPF EQUATION | MEDIA | CONSERVATION-LAWS | Shock

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 08/2019, Volume 94, pp. 155 - 159

We consider the initial–boundary value problem for the KdV–Burgers equation posed on a bounded interval [a,b]. This problem features non-homogeneous boundary...

KdV–Burgers equation | Initial–boundary value problem | Global smooth solution | MATHEMATICS, APPLIED | KdV-Burgers equation | Initial-boundary value problem | GENERALIZED KORTEWEG | KORTEWEG-DE-VRIES | GLOBAL WELL-POSEDNESS

KdV–Burgers equation | Initial–boundary value problem | Global smooth solution | MATHEMATICS, APPLIED | KdV-Burgers equation | Initial-boundary value problem | GENERALIZED KORTEWEG | KORTEWEG-DE-VRIES | GLOBAL WELL-POSEDNESS

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 08/2019, Volume 142, pp. 318 - 327

In this paper, we consider the initial–boundary value problem for the KdV–Burgers equation on right half-line R+=[0,+∞). We prove the existence and uniqueness...

KdV–Burgers equation | Initial–boundary value problem | Global smooth solution | MATHEMATICS | WAVES | KdV-Burgers equation | STABILITY | Initial-boundary value problem | KORTEWEG-DE-VRIES | PHYSICS, MATHEMATICAL | GLOBAL WELL-POSEDNESS | Military electronics industry

KdV–Burgers equation | Initial–boundary value problem | Global smooth solution | MATHEMATICS | WAVES | KdV-Burgers equation | STABILITY | Initial-boundary value problem | KORTEWEG-DE-VRIES | PHYSICS, MATHEMATICAL | GLOBAL WELL-POSEDNESS | Military electronics industry

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 12/2017, Volume 90, Issue 4, pp. 2903 - 2915

In this article, an initial and boundary value problem for variable coefficients coupled KdV–Burgers equation is considered. With the help of Lie group...

Engineering | Vibration, Dynamical Systems, Control | Soliton solution | Numerical solution | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Coupled KdV–Burgers equation | Lie symmetry analysis | SHOCK | WAVES | MECHANICS | PLASMA | Coupled KdV-Burgers equation | TIME-DEPENDENT COEFFICIENTS | ENGINEERING, MECHANICAL | Differential equations | Nonlinear equations | Boundary value problems | Lie groups | Ordinary differential equations | Runge-Kutta method | Linear equations | Burgers equation | Coefficients | Solitary waves

Engineering | Vibration, Dynamical Systems, Control | Soliton solution | Numerical solution | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Coupled KdV–Burgers equation | Lie symmetry analysis | SHOCK | WAVES | MECHANICS | PLASMA | Coupled KdV-Burgers equation | TIME-DEPENDENT COEFFICIENTS | ENGINEERING, MECHANICAL | Differential equations | Nonlinear equations | Boundary value problems | Lie groups | Ordinary differential equations | Runge-Kutta method | Linear equations | Burgers equation | Coefficients | Solitary waves

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2015, Volume 438, pp. 26 - 31

The new continuum model mentioned in this paper is developed based on optimal velocity car-following model, which takes the drivers’ anticipation effect into...

KdV–Burgers equation | Continuum model | Traffic flow | KdV-Burgers equation | CAR-FOLLOWING MODEL | DYNAMICAL MODEL | OPTIMAL VELOCITY | PHYSICS, MULTIDISCIPLINARY | NUMERICAL TESTS | KINEMATIC WAVES | SIMULATION | LATTICE MODEL

KdV–Burgers equation | Continuum model | Traffic flow | KdV-Burgers equation | CAR-FOLLOWING MODEL | DYNAMICAL MODEL | OPTIMAL VELOCITY | PHYSICS, MULTIDISCIPLINARY | NUMERICAL TESTS | KINEMATIC WAVES | SIMULATION | LATTICE MODEL

Journal Article

19.
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Analytic study on two nonlinear evolution equations by using the ( G′/ G)-expansion method

Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 209, Issue 2, pp. 425 - 429

The validity and reliability of the so-called ( G′/ G)-expansion method is tested by applying it to two nonlinear evolutionary equations. Solutions in more...

( G′/ G)-expansion method | Two-dimensional Korteweg–de-Vries–Burgers equation | Traveling wave solutions | Modified Camassa–Holm equation | Exact solutions | Two-dimensional Korteweg-de-Vries-Burgers equation | Modified Camassa-Holm equation | (G′/G)-expansion method | (G '/G)-expansion method | MATHEMATICS, APPLIED | WAVE SOLUTIONS | KDV-BURGERS EQUATION | SOLITON

( G′/ G)-expansion method | Two-dimensional Korteweg–de-Vries–Burgers equation | Traveling wave solutions | Modified Camassa–Holm equation | Exact solutions | Two-dimensional Korteweg-de-Vries-Burgers equation | Modified Camassa-Holm equation | (G′/G)-expansion method | (G '/G)-expansion method | MATHEMATICS, APPLIED | WAVE SOLUTIONS | KDV-BURGERS EQUATION | SOLITON

Journal Article

Physics Letters A, ISSN 0375-9601, 2007, Volume 367, Issue 1, pp. 88 - 94

In the Letter, homotopy analysis method that developed for integer-order differential equation is directly extended to derive explicit and numerical solutions...

Factional KdV–Burgers–Kuramoto equation | Fractional calculus | Homotopy analysis method | Factional KdV-Burgers-Kuramoto equation | SERIES SOLUTIONS | fractional calculus | PHYSICS, MULTIDISCIPLINARY | homotopy analysis method | BOUNDARY-LAYER-FLOWS | SIMILARITY REDUCTIONS | factional KdV-Burgers-Kuramoto equation | RATIONAL EXPANSION METHOD | PERIODIC-WAVE SOLUTIONS | EXPLICIT

Factional KdV–Burgers–Kuramoto equation | Fractional calculus | Homotopy analysis method | Factional KdV-Burgers-Kuramoto equation | SERIES SOLUTIONS | fractional calculus | PHYSICS, MULTIDISCIPLINARY | homotopy analysis method | BOUNDARY-LAYER-FLOWS | SIMILARITY REDUCTIONS | factional KdV-Burgers-Kuramoto equation | RATIONAL EXPANSION METHOD | PERIODIC-WAVE SOLUTIONS | EXPLICIT

Journal Article

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