New exact traveling wave solutions for the two-dimensional KdV-Burgers and Boussinesq equations

DOI10.1016/J.PHYSLETA.2005.06.004zbMath1181.35231OpenAlexW2044342234MaRDI QIDQ936787

A. Elgarayhi, Atalla M. Elhanbaly

Publication date: 20 August 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.06.004

zbMATH Keywords

nonlinear partial differential equationsperiodic wave solutionJacobi elliptic function solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10)

Related Items (5)

Different physical structures of solutions for a generalized Boussinesq wave equation ⋮ New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations ⋮ Saddle-node heteroclinic orbit and exact nontraveling wave solutions for \((2 + 1)D\) KdV-Burgers equation ⋮ Explicit exact solutions for the generalized Zakharov equations with nonlinear terms of any order ⋮ Some physical structures for the \((2+1)\)-dimensional Boussinesq water equation with positive and negative exponents

Cites Work

• Travelling solitary wave solutions to a seventh-order generalized KdV equation
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• Theoretical study of resonance of the Kadomtsev-Petviashvili equation
• Solitary wave solutions of nonlinear wave equations
• Exact solutions to the two-dimensional Korteweg-de Vries-Burgers equation
• Modified extended tanh-function method for solving nonlinear partial differential equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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