A simple method to construct soliton-like solution of the general KdV equation with external force

DOI10.1016/S1007-5704(00)90030-3zbMath0986.35102OpenAlexW2053126416MaRDI QIDQ5936257

Jie-Fang Zhang, Feng-min Wu

Publication date: 10 July 2001

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

Full work available at URL: https://doi.org/10.1016/s1007-5704(00)90030-3

zbMATH Keywords

exact solutionKdV equation with external forcesoliton-like solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

Related Items (1)

Solitary wave and shock wave solutions to a second order wave equation of Korteweg-de Vries type

Cites Work

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• Generalized Boussinesq equation and KdV equation --- Painlevé properties, Bäcklund transformations and Lax pairs
• Exact solutions of the variable coefficient KdV and SG type equations
• On the KdV-type equation with variable coefficients
• Complete integrability and analytic solutions of a KdV-type equation
• Symmetries and a hierarchy of the general modified KdV equation
• Symmetries of variable coefficient Korteweg–de Vries equations

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