Traveling solitary wave solutions to evolution equations with nonlinear terms of any order

DOI10.1016/S0960-0779(02)00568-4zbMath1030.35137OpenAlexW2047823313MaRDI QIDQ1416239

Zhao-sheng Feng

Publication date: 14 December 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00568-4

zbMATH Keywords

Liénard equationExact solutionBurgers-KdV equationSolitary wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

Traveling waves to a Burgers-Korteweg-de Vries-type equation with higher-order nonlinearities ⋮ Global asymptotic stability of bistable traveling fronts in reaction-diffusion systems and their applications to biological models ⋮ Exact solutions of coupled nonlinear evolution equations ⋮ Korteweg-de Vries-Burgers equation with a higher-order nonlinearity ⋮ Explicit exact solutions for the generalized Zakharov equations with nonlinear terms of any order

Cites Work

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• KdV-Burgers equation modelling of turbulence
• Explicit exact solutions for the Liénard equation and its applications
• On Series Expansions Giving Closed-Form Solutions of Korteweg–de Vries-Like Equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• Dynamics of the Van der Pol equation
• The inverse scattering transform: Semi-infinite interval
• Explicit Exact Solitary Wave Solutions for the Kundu Equation and the Derivative Schrödinger Equation
• A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
• A non-linear equation incorporating damping and dispersion
• One-Dimensional Flow of Liquids Containing Small Gas Bubbles
• Singular solution in a damped double sinh-Gordon system
• Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
• On explicit exact solutions for the Lienard equation and its applications

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