Explicit exact solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation.

DOI10.1016/j.cnsns.2008.06.005zbMath1221.35333OpenAlexW2006325112MaRDI QIDQ716724

Wei-Gui Feng, Kai-Ming Li, Chang Lin, Ya-Zhou Li

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.06.005

zbMATH Keywords

travelling wave solutionskink soliton solutionsextended tanh method\((2+1)\)-dimensional Boiti-Leon-Pempinelli equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (8)

Some more invariant solutions of \((2+1)\)-water waves ⋮ New exponential and complex traveling wave solutions to the Konopelchenko-Dubrovsky model ⋮ Application of the Exp-function method to the (2+1)-dimensional Boiti–Leon–Pempinelli equation using symbolic computation ⋮ Some more similarity solutions of the \((2+1)\)-dimensional BLP system ⋮ A series of new exact solutions of nonlinear evolution equations ⋮ Bifurcations and parametric representations of traveling wave solutions for the (2+1)-dimensional Boiti-Leon-Pempinelle system ⋮ NEW EXACT TRAVELLING WAVE SOLUTIONS FOR THE (2+1)-DIMENSIONAL BOITI-LEON-PEMPINELLI EQUATIONS ⋮ Explicit exact solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation

Uses Software

• Mathematica

Cites Work

• Theoretic study of dust acoustic waves in a dusty plasma with dust charge variation
• Applications of the extended tanh method for coupled nonlinear evolution equations
• New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
• New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations
• New solitary wave and periodic wave solutions to the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system
• The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation
• Soliton like and multi-soliton like solutions for the Boiti-Leon-Pempinelli equation
• Exact travelling wave solutions for the Boiti-Leon-Pempinelli equation
• Exact solutions of coupled nonlinear evolution equations
• A new generalized algebra method and its application in the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation
• New solutions of distinct physical structures to high-dimensional nonlinear evolution equations
• New periodic and soliton solutions of nonlinear evolution equations
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
• Novel interactions between semi-foldons of the (2 + 1)-dimensional Boiti–Leon–Pempinelli equation
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