Multiple-soliton solutions of the perturbed KdV equation

DOI10.1016/J.CNSNS.2009.12.018zbMath1222.65134OpenAlexW2090221782MaRDI QIDQ720232

Abdul-Majid Wazwaz

Publication date: 13 October 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.2009.12.018

zbMATH Keywords

Hirota bilinear methodperturbed KdV equationmultiple-soliton solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (7)

1-soliton solution and conservation laws for nonlinear wave equation in semiconductors ⋮ NEW SOLITARY WAVE SOLUTIONS FOR THE FRACTIONAL JAULENT–MIODEK HIERARCHY MODEL ⋮ Multiple soliton solutions of the Sawada-Kotera equation with a nonvanishing boundary condition and the perturbed Korteweg de Vries equation by using the multiple exp-function scheme ⋮ Exact two-soliton solutions and two-periodic solutions of the perturbed mKdV equation with variable coefficients ⋮ Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation ⋮ The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation ⋮ A note on solutions of the Korteweg-de Vries hierarchy

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