Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation

DOI10.1016/j.cnsns.2011.10.026zbMath1252.35243OpenAlexW2048754775MaRDI QIDQ434758

Wen-Jun Liu, Bo Tian, Xing Lü, Bo Qin, Zhiqiang Lin, Li-Cai Liu

Publication date: 16 July 2012

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.2011.10.026

zbMATH Keywords

symbolic computationBäcklund transformationperturbed Korteweg-de Vries equationsuperposition formulaeWronskian-type \(N\)-soliton solution

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (2)

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 ⋮ Bell-Polynomial Approach and Soliton Solutions for Some Higher-Order Korteweg-de Vries Equations in Fluid Mechanics, Plasma Physics and Lattice Dynamics

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