Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients

DOI10.1016/j.cnsns.2010.06.024zbMath1221.35375OpenAlexW2055863034MaRDI QIDQ718418

Abdul-Majid Wazwaz, Houria Triki

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.06.024

zbMATH Keywords

time-dependent coefficientssolitonsBBM equationgeneralized KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (13)

Some Solutions of Generalised Variable Coefficients KdV Equation by Classical Lie Approach ⋮ New dark-bright soliton in the shallow water wave model ⋮ Soliton and Riemann theta function quasi-periodic wave solutions for a \((2+1)\)-dimensional generalized shallow water wave equation ⋮ Bright solitons of the variants of the Novikov-Veselov equation with constant and variable coefficients ⋮ Soliton solutions of the Klein-Gordon-Zakharov equations with power law nonlinearity ⋮ Dark soliton and periodic wave solutions of nonlinear evolution equations ⋮ Modified lattice Boltzmann scheme for nonlinear convection diffusion equations ⋮ Symmetry classification and invariant solutions of the variable coefficient BBM equation ⋮ Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation ⋮ New exact solutions for the generalized variable-coefficient Gardner equation with forcing term ⋮ Some exact solutions of KdV equation with variable coefficients ⋮ A new approach for numerical solution of modified Korteweg-de Vries equation ⋮ Numerical approximation of modified Kawahara equation using kernel smoothing method

Cites Work

• Unnamed Item
• Dark optical solitons in power law media with time-dependent coefficients
• 1-soliton solution of (1+2)-dimensional nonlinear Schrödinger's equation in dual-power law media
• Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy
• Bright and dark soliton solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients
• Symbolic methods to construct exact solutions of nonlinear partial differential equations
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
• 1-soliton solution of the equation with generalized evolution
• Bright and dark solitons of the generalized nonlinear Schrödinger's equation
• Optical solitons with non-Kerr law nonlinearity and inter-modal dispersion with time-dependent coefficients
• Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
• The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation
• The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
• A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
• Multiple-soliton solutions for the Boussinesq equation
• Partial differential equations and solitary waves theory
• New solitons and kink solutions for the Gardner equation
• Solitons and singular solitons for the Gardner-KP equation
• Multiple-front solutions for the Burgers equation and the coupled Burgers equations
• Multiple soliton solutions for the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov equation

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