Travelling wave solutions of two-dimensional Korteweg–de Vries–Burgers and Kadomtsev–Petviashvili equations

DOI10.1088/0305-4470/39/37/007zbMath1106.35078OpenAlexW2170587918MaRDI QIDQ5492706

Javier Negro, Luis-Miguel Nieto, Şengül Kuru, Pilar G. Estevez

Publication date: 16 October 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/37/007

zbMATH Keywords

Painlevé analysisfactorization technique

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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New exact solutions for solving the initial-value-problem of the KdV-KP equation via the Lie group method ⋮ Analysis of modified Painlevé-Ince equations ⋮ Travelling wave solutions of the generalized Benjamin-Bona-Mahony equation ⋮ Compactons and kink-like solutions of BBM-like equations by means of factorization ⋮ Single and multi-solitary wave solutions to a class of nonlinear evolution equations ⋮ Soliton and shocks in pair ion plasma in presence of superthermal electron ⋮ Solutions of a class of Duffing oscillators with variable coefficients ⋮ Factorizations of one-dimensional classical systems

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