NEW EXACT TRAVELLING WAVE SOLUTIONS FOR THE (2+1)-DIMENSIONAL BOITI-LEON-PEMPINELLI EQUATIONS

DOI10.17654/AM100040257zbMath1432.35041OpenAlexW2907316984MaRDI QIDQ5212445

Xin Ding, Ming Song

Publication date: 29 January 2020

Published in: Far East Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/am100040257

zbMATH Keywords

periodic wave solutionskink wave solutionbifurcation methodperiodic blow-up wave solutions\((2+1)\)-dimensional BLP equationunbounded wave solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Traveling wave solutions (35C07)

Cites Work

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• A variety of exact travelling wave solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation
• Periodic structures based on variable separation solution of the (2+1)-dimensional boiti-leon-pempinelli equation
• Explicit exact solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation.
• Exact solutions and conservation laws of \((2 + 1)\)-dimensional Boiti-Leon-Pempinelli equation
• Soliton like and multi-soliton like solutions for the Boiti-Leon-Pempinelli equation
• Exact travelling wave solutions for the Boiti-Leon-Pempinelli equation
• A new generalized algebra method and its application in the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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