Pramana, ISSN 0304-4289, 5/2018, Volume 90, Issue 5, pp. 1 - 20

In this research, we apply two different techniques on nonlinear complex fractional nonlinear Schrödinger equation which is a very important model in...

new auxiliary equation method | optical solitary travelling wave solutions | Astrophysics and Astroparticles | novel $$\left( {G'}/{G}\right) $$ G ′ / G -expansion method | kink and antikink | Physics, general | Nonlinear complex fractional Schrödinger equation | Physics | Astronomy, Observations and Techniques | novel (G | G) -expansion method | BOUSSINESQ EQUATION | PHYSICS, MULTIDISCIPLINARY | BIFURCATIONS | novel (G '/G)-expansion method | FIBERS | TRAVELING-WAVE SOLUTIONS | EVOLUTION | Nonlinear complex fractional Schrodinger equation | GINZBURG-LANDAU EQUATION | BRIGHT | Quantum theory | Methods

new auxiliary equation method | optical solitary travelling wave solutions | Astrophysics and Astroparticles | novel $$\left( {G'}/{G}\right) $$ G ′ / G -expansion method | kink and antikink | Physics, general | Nonlinear complex fractional Schrödinger equation | Physics | Astronomy, Observations and Techniques | novel (G | G) -expansion method | BOUSSINESQ EQUATION | PHYSICS, MULTIDISCIPLINARY | BIFURCATIONS | novel (G '/G)-expansion method | FIBERS | TRAVELING-WAVE SOLUTIONS | EVOLUTION | Nonlinear complex fractional Schrodinger equation | GINZBURG-LANDAU EQUATION | BRIGHT | Quantum theory | Methods

Journal Article

Results in Physics, ISSN 2211-3797, 2017, Volume 7, pp. 1143 - 1149

The Boussinesq equation with dual dispersion and modified Korteweg–de Vries–Kadomtsev–Petviashvili equations describe weakly dispersive and small amplitude...

Modified Korteweg–de Vries–Kadomtsev–Petviashvili equation | Breaking soliton equation | Boussinesq equation

Modified Korteweg–de Vries–Kadomtsev–Petviashvili equation | Breaking soliton equation | Boussinesq equation

Journal Article

Physics Letters A, ISSN 0375-9601, 2008, Volume 372, Issue 4, pp. 417 - 423

The ( )-expansion method is firstly proposed, where satisfies a second order linear ordinary differential equation (LODE for short), by which the travelling...

Travelling wave solutions | Hirota–Satsuma equations | KdV equation | Variant Boussinesq equations | ( [formula omitted])-expansion method | Homogeneous balance | Solitary wave solutions | mKdV equation | Hirota-Satsuma equations | G))-expansion method | frac(G | EXPANSION METHOD | F-EXPANSION | NONCOMPACT STRUCTURES | VARIANTS | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | SUB-ODE METHOD | (G '/G)-expansion method | PARTIAL-DIFFERENTIAL-EQUATIONS | solitary wave solutions | homogeneous balance | travelling wave solutions | variant Boussinesq equations | EXPLICIT

Travelling wave solutions | Hirota–Satsuma equations | KdV equation | Variant Boussinesq equations | ( [formula omitted])-expansion method | Homogeneous balance | Solitary wave solutions | mKdV equation | Hirota-Satsuma equations | G))-expansion method | frac(G | EXPANSION METHOD | F-EXPANSION | NONCOMPACT STRUCTURES | VARIANTS | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | SUB-ODE METHOD | (G '/G)-expansion method | PARTIAL-DIFFERENTIAL-EQUATIONS | solitary wave solutions | homogeneous balance | travelling wave solutions | variant Boussinesq equations | EXPLICIT

Journal Article

Physica Scripta, ISSN 0031-8949, 06/2018, Volume 93, Issue 7, p. 75203

This paper analyzes a new form of the (3+1) dimensional generalized Kadomtsev-Petviashvili (KP)-Boussinesq equation for exploring lump solutions by making use...

Bilinear equations | Lump solutions | Dimensionally reduced new form of (3 + 1) dimensional generalized KP-Boussinesq equation | New form of (3 + 1) dimensional generalized KP-Boussinesq equation | SOLITON-SOLUTIONS | I EQUATION | SYMMETRY | RESONANCE | PHYSICS, MULTIDISCIPLINARY | Dimensionally reduced new form of (3+1) dimensional generalized KP-Boussinesq equation | COEFFICIENTS | New form of (3+1) dimensional generalized KP-Boussinesq equation

Bilinear equations | Lump solutions | Dimensionally reduced new form of (3 + 1) dimensional generalized KP-Boussinesq equation | New form of (3 + 1) dimensional generalized KP-Boussinesq equation | SOLITON-SOLUTIONS | I EQUATION | SYMMETRY | RESONANCE | PHYSICS, MULTIDISCIPLINARY | Dimensionally reduced new form of (3+1) dimensional generalized KP-Boussinesq equation | COEFFICIENTS | New form of (3+1) dimensional generalized KP-Boussinesq equation

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 9/2016, Volume 85, Issue 4, pp. 2449 - 2465

In this paper, we study the application of a version of the method of simplest equation for obtaining exact traveling wave solutions of the Zakharov–Kuznetsov...

Engineering | Vibration, Dynamical Systems, Control | Modified Zakharov–Kuznetsov equation | Modified method of simplest equation | Exact solutions | Mechanics | Automotive Engineering | Zakharov–Kuznetsov equation | Mechanical Engineering | Zakharov-Kuznetsov equation | 1-SOLITON SOLUTION | DE-VRIES EQUATION | ENGINEERING, MECHANICAL | TRAVELING-WAVE SOLUTIONS | MECHANICS | PARTIAL-DIFFERENTIAL-EQUATIONS | SYMBOLIC COMPUTATION | TIME-DEPENDENT COEFFICIENTS | BOUSSINESQ EQUATIONS | Modified Zakharov-Kuznetsov equation | KDV EQUATION | NONLINEAR EVOLUTION-EQUATIONS | VARIABLE SEPARATION APPROACH | Information science | Methods | Traveling waves | Nonlinear equations | Partial differential equations | Mathematical analysis | Nonlinear differential equations

Engineering | Vibration, Dynamical Systems, Control | Modified Zakharov–Kuznetsov equation | Modified method of simplest equation | Exact solutions | Mechanics | Automotive Engineering | Zakharov–Kuznetsov equation | Mechanical Engineering | Zakharov-Kuznetsov equation | 1-SOLITON SOLUTION | DE-VRIES EQUATION | ENGINEERING, MECHANICAL | TRAVELING-WAVE SOLUTIONS | MECHANICS | PARTIAL-DIFFERENTIAL-EQUATIONS | SYMBOLIC COMPUTATION | TIME-DEPENDENT COEFFICIENTS | BOUSSINESQ EQUATIONS | Modified Zakharov-Kuznetsov equation | KDV EQUATION | NONLINEAR EVOLUTION-EQUATIONS | VARIABLE SEPARATION APPROACH | Information science | Methods | Traveling waves | Nonlinear equations | Partial differential equations | Mathematical analysis | Nonlinear differential equations

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 9/2017, Volume 89, Issue 4, pp. 2979 - 2994

By using the multiplier approach, we construct the conservation laws and the corresponding conserved quantities for the modified Camassa–Holm equation and...

Engineering | Vibration, Dynamical Systems, Control | Classical Mechanics | Multiplier | Automotive Engineering | Camassa–Holm equation | Mechanical Engineering | Soliton solutions | Zakharov–Kuznetsov–Benjamin–Bona–Mahoney equation | Semi-inverse variational principle | TRAVELING-WAVE SOLUTIONS | MECHANICS | PARTIAL-DIFFERENTIAL-EQUATIONS | Zakharov-Kuznetsov-Benjamin-Bona-Mahoney equation | BOUSSINESQ EQUATIONS | SYSTEMS | EVOLUTION-EQUATIONS | Camassa-Holm equation | ENGINEERING, MECHANICAL | Environmental law | Conservation laws | Solitary waves

Engineering | Vibration, Dynamical Systems, Control | Classical Mechanics | Multiplier | Automotive Engineering | Camassa–Holm equation | Mechanical Engineering | Soliton solutions | Zakharov–Kuznetsov–Benjamin–Bona–Mahoney equation | Semi-inverse variational principle | TRAVELING-WAVE SOLUTIONS | MECHANICS | PARTIAL-DIFFERENTIAL-EQUATIONS | Zakharov-Kuznetsov-Benjamin-Bona-Mahoney equation | BOUSSINESQ EQUATIONS | SYSTEMS | EVOLUTION-EQUATIONS | Camassa-Holm equation | ENGINEERING, MECHANICAL | Environmental law | Conservation laws | Solitary waves

Journal Article

J Phys Soc Jpn, ISSN 0031-9015, 8/2012, Volume 81, Issue 8, pp. 084001 - 084001-6

In this work, firstly it is shown that the coupled Schrödinger--Boussinesq equation, which governs the nonlinear propagation of coupled Langmuir and...

Coupled higgs equation | Schrödinger-Boussinesq equation | Hirota technique | Rogue wave | Schrodinger-Boussinesq equation | PEREGRINE SOLITON | coupled Higgs equation | PLASMA | MODULATION INSTABILITY | PHYSICS, MULTIDISCIPLINARY | SURFACE | FREAK WAVES | ZAKHAROV EQUATIONS

Coupled higgs equation | Schrödinger-Boussinesq equation | Hirota technique | Rogue wave | Schrodinger-Boussinesq equation | PEREGRINE SOLITON | coupled Higgs equation | PLASMA | MODULATION INSTABILITY | PHYSICS, MULTIDISCIPLINARY | SURFACE | FREAK WAVES | ZAKHAROV EQUATIONS

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 2011, Volume 54, Issue 9, pp. 2109 - 2116

In this paper, the exact traveling wave solutions of the Zhiber–Shabat equation and the related equations: Liouville equation, Dodd–Bullough–Mikhailov (DBM)...

Tzitzeica–Dodd–Bullough (TDB) equation | ( [formula omitted])-expansion method | Zhiber–Shabat equation | Dodd–Bullough–Mikhailov (DBM) equation | Traveling wave solutions | Liouville equation | Tzitzeica-Dodd-Bullough (TDB) equation | Dodd-Bullough-Mikhailov (DBM) equation | Zhiber-Shabat equation | (G'G)-expansion method | MATHEMATICAL PHYSICS | MATHEMATICS, APPLIED | SINE-GORDON EQUATION | EXTENDED TANH METHOD | (G '/G)-expansion method | TRAVELING-WAVE SOLUTIONS | EXP-FUNCTION METHOD | BOUSSINESQ EQUATIONS | NONLINEAR EVOLUTION-EQUATIONS

Tzitzeica–Dodd–Bullough (TDB) equation | ( [formula omitted])-expansion method | Zhiber–Shabat equation | Dodd–Bullough–Mikhailov (DBM) equation | Traveling wave solutions | Liouville equation | Tzitzeica-Dodd-Bullough (TDB) equation | Dodd-Bullough-Mikhailov (DBM) equation | Zhiber-Shabat equation | (G'G)-expansion method | MATHEMATICAL PHYSICS | MATHEMATICS, APPLIED | SINE-GORDON EQUATION | EXTENDED TANH METHOD | (G '/G)-expansion method | TRAVELING-WAVE SOLUTIONS | EXP-FUNCTION METHOD | BOUSSINESQ EQUATIONS | NONLINEAR EVOLUTION-EQUATIONS

Journal Article

Physics Letters A, ISSN 0375-9601, 2008, Volume 372, Issue 19, pp. 3400 - 3406

In this work, we established abundant travelling wave solutions for some nonlinear evolution equations. This method was used to construct travelling wave...

Modified Zakharov–Kuznetsov equation | Konopelchenko–Dubrovsky equation | [formula omitted]-expansion method | Boussinesq equation | Konopelchenko-Dubrovsky equation | Modified Zakharov-Kuznetsov equation | G))-expansion method | frac(G | modified zakharov-kuznetsov equation | (G'/G)-expansion method | TRAVELING-WAVE SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | EXP-FUNCTION METHOD | boussinesq equation | EXTENDED TANH METHOD | konopelchenko-dubrovsky equation

Modified Zakharov–Kuznetsov equation | Konopelchenko–Dubrovsky equation | [formula omitted]-expansion method | Boussinesq equation | Konopelchenko-Dubrovsky equation | Modified Zakharov-Kuznetsov equation | G))-expansion method | frac(G | modified zakharov-kuznetsov equation | (G'/G)-expansion method | TRAVELING-WAVE SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | EXP-FUNCTION METHOD | boussinesq equation | EXTENDED TANH METHOD | konopelchenko-dubrovsky equation

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 04/2018, Volume 92, Issue 2, pp. 709 - 720

Under investigation in this paper is the -dimensional B-type Kadomtsev-Petviashvili-Boussinesq (BKP-Boussinesq) equation, which can display the nonlinear...

Interaction phenomena | Rogue waves | Bäcklund transformation | Traveling waves | Kink solitary waves | Bell’s polynomial | BKP–Boussinesq equation | BREATHER WAVES | INTEGRABILITY | FLUID-DYNAMICS | BKP-Boussinesq equation | INFINITE CONSERVATION-LAWS | EVOLUTION-EQUATIONS | NONLINEAR SCHRODINGER-EQUATION | ENGINEERING, MECHANICAL | QUASI-PERIODIC WAVES | MECHANICS | Bell's polynomial | SOLITARY WAVES | (2+1)-DIMENSIONAL ITO EQUATION | Backlund transformation | RATIONAL CHARACTERISTICS | Water waves | Mineral industry | Mining industry | Nonlinear dynamics | Nonlinear equations | Boussinesq equations | Transformations (mathematics) | Nonlinear evolution equations | Polynomials | Identities | Solitary waves | Breathers

Interaction phenomena | Rogue waves | Bäcklund transformation | Traveling waves | Kink solitary waves | Bell’s polynomial | BKP–Boussinesq equation | BREATHER WAVES | INTEGRABILITY | FLUID-DYNAMICS | BKP-Boussinesq equation | INFINITE CONSERVATION-LAWS | EVOLUTION-EQUATIONS | NONLINEAR SCHRODINGER-EQUATION | ENGINEERING, MECHANICAL | QUASI-PERIODIC WAVES | MECHANICS | Bell's polynomial | SOLITARY WAVES | (2+1)-DIMENSIONAL ITO EQUATION | Backlund transformation | RATIONAL CHARACTERISTICS | Water waves | Mineral industry | Mining industry | Nonlinear dynamics | Nonlinear equations | Boussinesq equations | Transformations (mathematics) | Nonlinear evolution equations | Polynomials | Identities | Solitary waves | Breathers

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 11/2013, Volume 224, pp. 517 - 523

In this paper, we successfully construct the new exact traveling wave solutions of the coupled Schrödinger–Boussinesq equation by using the extended simplest...

The coupled Schrödinger–Boussinesq equation | The extended simplest equation method | The traveling wave solutions | The coupled Schrödinger-Boussinesq equation | SYSTEM | NONLINEAR DIFFERENTIAL-EQUATIONS | MATHEMATICS, APPLIED | TRAVELING-WAVE SOLUTIONS | EXPANSION | KDV EQUATION | EVOLUTION-EQUATIONS | The coupled Schrodinger-Boussinesq equation | PLASMAS

The coupled Schrödinger–Boussinesq equation | The extended simplest equation method | The traveling wave solutions | The coupled Schrödinger-Boussinesq equation | SYSTEM | NONLINEAR DIFFERENTIAL-EQUATIONS | MATHEMATICS, APPLIED | TRAVELING-WAVE SOLUTIONS | EXPANSION | KDV EQUATION | EVOLUTION-EQUATIONS | The coupled Schrodinger-Boussinesq equation | PLASMAS

Journal Article

1988, ISBN 9789971507442, ix, 333

Book

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

International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 08/2017, Volume 84, Issue 10, pp. 569 - 583

Summary We reformulate the depth‐averaged non‐hydrostatic extension for shallow water equations to show equivalence with well‐known Boussinesq‐type equations....

pressure profile | free surface | Serre equations | non‐hydrostatic pressure | Green–Nagdhi equations | Boussinesq‐type equations | shallow water | non-hydrostatic pressure | Boussinesq-type equations | PHYSICS, FLUIDS & PLASMAS | ALGORITHM | SIMULATION | Green-Nagdhi equations | WAVE PROCESSES | FREE-SURFACE FLOW | FINITE-ELEMENT MODEL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Shallow water equations | Vertical profiles | Boussinesq equations | Asymptotic properties | Derivatives | Shallow water | Water depth | Pressure | Dispersion | Depth | Equations | Equivalence | Simulation | Mathematical analysis | Hydrostatic pressure | Spacetime | Boussinesq approximation | Scalars | Mathematical models | Case depth

pressure profile | free surface | Serre equations | non‐hydrostatic pressure | Green–Nagdhi equations | Boussinesq‐type equations | shallow water | non-hydrostatic pressure | Boussinesq-type equations | PHYSICS, FLUIDS & PLASMAS | ALGORITHM | SIMULATION | Green-Nagdhi equations | WAVE PROCESSES | FREE-SURFACE FLOW | FINITE-ELEMENT MODEL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Shallow water equations | Vertical profiles | Boussinesq equations | Asymptotic properties | Derivatives | Shallow water | Water depth | Pressure | Dispersion | Depth | Equations | Equivalence | Simulation | Mathematical analysis | Hydrostatic pressure | Spacetime | Boussinesq approximation | Scalars | Mathematical models | Case depth

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

Optical and Quantum Electronics, ISSN 0306-8919, 04/2017, Volume 49, Issue 4, p. 1

Nonlinear fractional Boussinesq equations are considered as an important class of fractional differential equations in mathematical physics. In this article, a...

Nonlinear Boussinesq equations | Conformable time-fractional derivative | Hyperbolic, trigonometric and rational function solutions | Exp (- ϕ(ε)) -expansion method | QUANTUM SCIENCE & TECHNOLOGY | DIFFERENTIAL-EQUATIONS | FUNCTIONAL VARIABLE METHOD | EVOLUTION-EQUATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | SOLITON-SOLUTIONS | 1ST INTEGRAL METHOD | Exp(-phi/(epsilon))-expansion method | KUDRYASHOV METHOD | OPTICS | Mechanical engineering | Methods | Differential equations

Nonlinear Boussinesq equations | Conformable time-fractional derivative | Hyperbolic, trigonometric and rational function solutions | Exp (- ϕ(ε)) -expansion method | QUANTUM SCIENCE & TECHNOLOGY | DIFFERENTIAL-EQUATIONS | FUNCTIONAL VARIABLE METHOD | EVOLUTION-EQUATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | SOLITON-SOLUTIONS | 1ST INTEGRAL METHOD | Exp(-phi/(epsilon))-expansion method | KUDRYASHOV METHOD | OPTICS | Mechanical engineering | Methods | Differential equations

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 6/2018, Volume 92, Issue 4, pp. 1469 - 1479

In this paper, the (2 $$+$$ + 1)-dimensional Boussinesq equation is studied by applying residual symmetry reduction method and consistent Riccati expansion...

Residual symmetry | Engineering | Vibration, Dynamical Systems, Control | (2 $$+$$ + 1)-dimensional Boussinesq equation | Consistent Riccati expansion | Classical Mechanics | Automotive Engineering | Mechanical Engineering | (2 + 1)-dimensional Boussinesq equation | MECHANICS | (2+1)-dimensional Boussinesq equation | NONLOCAL SYMMETRIES | DARBOUX TRANSFORMATIONS | ENGINEERING, MECHANICAL | SOLITON | Reduction | Boussinesq equations | Interaction models | Dependent variables | Cnoidal waves | Transformations | Solitary waves | Symmetry

Residual symmetry | Engineering | Vibration, Dynamical Systems, Control | (2 $$+$$ + 1)-dimensional Boussinesq equation | Consistent Riccati expansion | Classical Mechanics | Automotive Engineering | Mechanical Engineering | (2 + 1)-dimensional Boussinesq equation | MECHANICS | (2+1)-dimensional Boussinesq equation | NONLOCAL SYMMETRIES | DARBOUX TRANSFORMATIONS | ENGINEERING, MECHANICAL | SOLITON | Reduction | Boussinesq equations | Interaction models | Dependent variables | Cnoidal waves | Transformations | Solitary waves | Symmetry

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 06/2018, Volume 92, Issue 4, pp. 2061 - 2076

Under investigation in this work is a generalized (2+1)-dimensional Boussinesq equation. By employing the Bell's polynomials, bilinear formalism of this...

Bilinear transform method | Lump | (2+1)-Dimensional Boussinesq equation | Breather | WATER-WAVES | SOLITARY WAVE | MECHANICS | SOLITONS | DYNAMICS | ENGINEERING, MECHANICAL | ROGUE WAVES | Polynomials | Boussinesq equations | Perturbation | Formalism | Breathers

Bilinear transform method | Lump | (2+1)-Dimensional Boussinesq equation | Breather | WATER-WAVES | SOLITARY WAVE | MECHANICS | SOLITONS | DYNAMICS | ENGINEERING, MECHANICAL | ROGUE WAVES | Polynomials | Boussinesq equations | Perturbation | Formalism | Breathers

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 06/2017, Volume 88, Issue 4, pp. 3017 - 3021

We study two (3\[+\]1)-dimensional generalized equations, namely the Kadomtsev–Petviashvili–Boussinesq equation and the B-type...

Generalized KP equation | BKP equation | Boussinesq equation | Simplified Hirota’s method | Mathematical analysis | Solitary waves | Boussinesq equations

Generalized KP equation | BKP equation | Boussinesq equation | Simplified Hirota’s method | Mathematical analysis | Solitary waves | Boussinesq equations

Journal Article

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Full Text
Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq equation

Nonlinear Dynamics, ISSN 0924-090X, 10/2016, Volume 86, Issue 1, pp. 523 - 534

Associated with the prime number p = 3, a combined model of generalized bilinear Kadomtsev-Petviashvili and Boussinesq equation (gbKPB for short) in terms of...

Generalized bilinear operator | Lump solution | Generalized Kadomtsev–Petviashvili–Boussinesq equation | POLYNOMIALS | RATIONAL SOLUTIONS | INTEGRABILITY | WAVES | MECHANICS | Generalized Kadomtsev-Petviashvili-Boussinesq equation | SYMBOLIC COMPUTATION | BILINEAR EQUATIONS | ENGINEERING, MECHANICAL | Resveratrol | Quadratic equations | Boussinesq equations | Parameters | Prime numbers | Searching | Mathematical analysis | Mathematical models | Localization | Density

Generalized bilinear operator | Lump solution | Generalized Kadomtsev–Petviashvili–Boussinesq equation | POLYNOMIALS | RATIONAL SOLUTIONS | INTEGRABILITY | WAVES | MECHANICS | Generalized Kadomtsev-Petviashvili-Boussinesq equation | SYMBOLIC COMPUTATION | BILINEAR EQUATIONS | ENGINEERING, MECHANICAL | Resveratrol | Quadratic equations | Boussinesq equations | Parameters | Prime numbers | Searching | Mathematical analysis | Mathematical models | Localization | Density

Journal Article