Non-integrable variants of Boussinesq equation with two solitons

DOI10.1016/j.amc.2010.06.022zbMath1198.35242OpenAlexW2029732777MaRDI QIDQ711323

Abdul-Majid Wazwaz

Publication date: 25 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.022

zbMATH Keywords

Boussinesq equationtwo-soliton solutionsHirota bilinear methodHereman's method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (13)

Kawahara solitons in Boussinesq equations using a robust Christov-Galerkin spectral method ⋮ Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation ⋮ Unnamed Item ⋮ Solitons and other nonlinear waves of the Boussinesq equation ⋮ New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method ⋮ Stability analysis of solutions for the sixth-order nonlinear Boussinesq water wave equations in two-dimensions and its applications ⋮ Searching For (2+1)-dimensional nonlinear Boussinesq equation from (1+1)-dimensional nonlinear Boussinesq equation ⋮ \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water ⋮ Gaussons ⋮ Symmetries, traveling wave solutions, and conservation laws of a \((3+1)\)-dimensional Boussinesq equation ⋮ Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation ⋮ New exact solutions, dynamical and chaotic behaviors for the fourth-order nonlinear generalized Boussinesq water wave equation ⋮ Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

Cites Work

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