Solutions of the generalized KdV equation with time-dependent damping and dispersion

DOI10.1016/j.amc.2009.12.059zbMath1190.65159OpenAlexW2010627906MaRDI QIDQ972143

Zhao-Ling Tao, Francis R. Austin, Yang Yang

Publication date: 25 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.059

zbMATH Keywords

solitary wave solutionsexp-function methodtanh-coth methodsine-cosine methodgeneralized Korteweg-de-Vries equation with time-dependent damping and dispersion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

Trial equation method for solving the generalized Fisher equation with variable coefficients ⋮ On soliton solutions for the Fitzhugh-Nagumo equation with time-dependent coefficients ⋮ Exact solutions for the nonlinear Schrödinger equation with variable coefficients using the generalized extended tanh-function, the sine-cosine and the exp-function methods ⋮ Single-peak solitary wave solutions for the generalized Korteweg-de Vries equation ⋮ Comment on: ``Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients ⋮ Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients ⋮ Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries ⋮ Various exact solutions for the conformable time-fractional generalized FitzHugh-Nagumo equation with time-dependent coefficients

Cites Work

• Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
• The tanh-coth and the sech methods for exact solutions of the Jaulent-Miodek equation
• Solitary wave solution for the generalized KdV equation with time-dependent damping and dispersion
• Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
• Exp-function method for nonlinear wave equations
• Analytic solutions of the (2 + 1)-dimensional nonlinear evolution equations using the sine-cosine method
• The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
• The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations
• New periodic solutions for nonlinear evolution equations using Exp-function method
• Exact Linearization and Invariant Solutions of the Generalized Burgers Equation with Linear Damping and Variable Viscosity

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