On soliton solutions of the \((2+1)\) dimensional Boussinesq equation
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Publication:2344628
DOI10.1016/j.amc.2009.05.028zbMath1311.35250OpenAlexW2066882623MaRDI QIDQ2344628
Mohammed Khalfallah, El-Sayed Osman, A. S. Abdel Rady
Publication date: 15 May 2015
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.028
Boussinesq equationRiccati equationsoliton solutionstraveling wave solutionshomogeneous balance method
Related Items (6)
Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation ⋮ Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation ⋮ New extended rational trigonometric methods and applications ⋮ Stability analysis of solutions for the sixth-order nonlinear Boussinesq water wave equations in two-dimensions and its applications ⋮ Oscillations of particles in the standard model ⋮ Characteristics of the soliton molecule and lump solution in the \(\left( 2 + 1\right)\)-dimensional higher-order Boussinesq equation
Cites Work
- New exact traveling wave solutions of the \((3 + 1)\) dimensional Kadomtsev-Petviashvili (KP) equation
- New periodic wave and soliton solutions for system of coupled Korteweg-de Vries equations
- A new note on a homogeneous balance method
- New exact travelling wave solutions for the Kawahara and modified Kawahara equations
- Two new applications of the homogeneous balance method
- Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-Kaup-Kupershmidt equations
- New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
- A note on the auxiliary equation method for solving nonlinear partial differential equations
- Solitary wave solutions for variant Boussinesq equations
- Exact solutions for a compound KdV-Burgers equation
- Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations
- Exact traveling wave solutions of the Boussinesq-Burgers equation
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- Auxiliary equation method and new solutions of Klein-Gordon equations
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