Exact solutions and conservation laws of \((2 + 1)\)-dimensional Boiti-Leon-Pempinelli equation

DOI10.1016/J.AMC.2010.03.065zbMath1192.35160OpenAlexW2048915711MaRDI QIDQ983976

Xi-Qiang Liu, Ting-Ting Wang, Jin-Qian Yu

Publication date: 13 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.065

zbMATH Keywords

conservation lawsexact solutionssymmetry reductionBLP equationCK's direct method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (9)

Some more invariant solutions of \((2+1)\)-water waves ⋮ Novel localized wave solutions of the (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation ⋮ Symmetry reduction and explicit solutions of the \((2+1)\)-dimensional Boiti-Leon-Pempinelli system ⋮ Lie symmetry analysis and some exact solutions of \((2+1)\)-dimensional KdV-Burgers equation ⋮ Numerical analytic method for solving a large class of generalized non-homogeneous variable coefficients KdV problems based on lie symmetries ⋮ Some more similarity solutions of the \((2+1)\)-dimensional BLP system ⋮ Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation ⋮ NEW EXACT TRAVELLING WAVE SOLUTIONS FOR THE (2+1)-DIMENSIONAL BOITI-LEON-PEMPINELLI EQUATIONS ⋮ Comment on “Solitons, Bäcklund transformation, and Lax pair for the (2 + 1)-dimensional Boiti-Leon- Pempinelli equation for the water waves” [J. Math. Phys. 51, 093519 (2010)]

Cites Work

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• Diversity of exact solutions to a restricted Boiti-Leon-Pempinelli dispersive long-wave system
• Soliton like and multi-soliton like solutions for the Boiti-Leon-Pempinelli equation
• Symmetry and integration methods for differential equations
• 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
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method

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