Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev-Petviashvili equation

DOI10.1016/j.camwa.2011.04.007zbMath1222.35177OpenAlexW2080410786MaRDI QIDQ640529

Guang-Mei Wei, Yue-Qian Liang, Xiao-Nan Li

Publication date: 18 October 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.04.007

zbMATH Keywords

Hirota bilinear methoddependent variable transformationgeneralized variable-coefficient Kadomtsev-Petviashvili equationmulti-solitonic solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (7)

Two-layer fluid formation and propagation of periodic solitons induced by \((3+1)\)-dimensional KP equation ⋮ Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients ⋮ Parabola solitons for the nonautonomous KP equation in fluids and plasmas ⋮ Wronskian and Grammian determinant structure solutions for a variable-coefficient forced Kadomtsev-Petviashvili equation in fluid dynamics ⋮ Novel characteristics of lump and lump-soliton interaction solutions to the generalized variable-coefficient Kadomtsev-Petviashvili equation ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids ⋮ Unconventional characteristic line for the nonautonomous KP equation

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