Some exact solutions of KdV equation with variable coefficients

DOI10.1016/j.cnsns.2010.07.023zbMath1221.35346OpenAlexW1969073029MaRDI QIDQ718486

D. Kharzeev

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.2010.07.023

zbMATH Keywords

exact solutionsvariable-coefficient KdV equationsoliton solutionsextended mapping transformation method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton solutions (35C08)

Related Items (9)

Bright and dark soliton solutions for the perturbed nonlinear schrödinger's equation with Kerr law and non-Kerr law nonlinearity ⋮ Symmetry analysis and some new exact solutions of some nonlinear KdV-like equations ⋮ New exact solutions and numerical approximations of the generalized KdV equation ⋮ A note on the \(\exp (-\varphi (z))\) expansion method ⋮ Comment on: ``Some exact solutions of KdV equation with variable coefficients ⋮ Chaos and bifurcations in a discretized fractional model of quasi-periodic plasma perturbations ⋮ New exact solutions for the generalized variable-coefficient Gardner equation with forcing term ⋮ Numerical solutions of Korteweg-de Vries and Korteweg-de Vries-Burger's equations in a Bernstein polynomial basis ⋮ New similarity solutions of a generalized variable-coefficient Gardner equation with forcing term

Cites Work

• The effect of a bump on wave propagation in a fluid-filled elastic tube
• A study on KdV and Gardner equations with time-dependent coefficients and forcing terms
• Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients
• Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid
• Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation
• Exact solutions of KdV equation with time-dependent coefficients
• Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid
• (G′/G)-expansion method equivalent to the extended tanh-function method
• Travelling wave solutions of nonlinear evolution equations by using symbolic computation

This page was built for publication: Some exact solutions of KdV equation with variable coefficients