A variety of exact travelling wave solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation

DOI10.1016/j.amc.2009.06.024zbMath1203.35247OpenAlexW2007730255MaRDI QIDQ609289

Mona S. Mehanna, Abdul-Majid Wazwaz

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.024

zbMATH Keywords

travelling wave solutionsexp-function methodtanh-coth methodBoiti-Leon-Pempinelli equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (11)

Periodic and solitary wave solutions for a generalized variable-coefficient Boiti-Leon-Pempinlli system ⋮ Some more invariant solutions of \((2+1)\)-water waves ⋮ Lie symmetry analysis, Bäcklund transformations, and exact solutions of a (2 + 1)-dimensional Boiti-Leon-Pempinelli system ⋮ New exponential and complex traveling wave solutions to the Konopelchenko-Dubrovsky model ⋮ An improvement on the exp-function method when balancing the highest order linear and nonlinear terms ⋮ Redundant exact solutions of nonlinear differential equations ⋮ (2 + 1)-dimensional Boiti-Leon-Pempinelli equation -- domain walls, invariance properties and conservation laws ⋮ Exact solutions of some nonlinear systems of partial differential equations by using the first integral method ⋮ Exact solutions of two nonlinear partial differential equations by using the first integral method ⋮ Some more similarity solutions of the \((2+1)\)-dimensional BLP system ⋮ NEW EXACT TRAVELLING WAVE SOLUTIONS FOR THE (2+1)-DIMENSIONAL BOITI-LEON-PEMPINELLI EQUATIONS

Uses Software

• RATH

Cites Work

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