Analysis of (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation via Lax pair investigation and group transformation method

DOI10.1016/j.camwa.2017.07.033zbMath1398.35202OpenAlexW2744916719MaRDI QIDQ1667690

A. S. Rashed, S. M. Mabrouk

Publication date: 30 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.07.033

zbMATH Keywords

singular manifold method(3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equationthree parameters group transformation

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) Nonlinear ordinary differential equations and systems (34A34) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (13)

Painlevé analysis for Boiti-Leon-Manna-Pempinelli equation of higher dimensions with time-dependent coefficients: multiple soliton solutions ⋮ Solitary wave solutions for generalized Boiti-Leon-Manna-Pempinelli equation by using improved simple equation method ⋮ Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods ⋮ New variable separation solutions and wave interactions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Investigation of breaking dynamics for Riemann waves in shallow water ⋮ \(N\)-solitons, Kink and periodic wave solutions for \((3 + 1)\)-dimensional Hirota bilinear equation using three distinct techniques ⋮ New solitons and conditional stability to the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity ⋮ Two different systematic techniques to find analytical solutions of the \((2+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ A new approach to \((3+1)\) dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Exact solutions of nonlinear fractional order partial differential equations via singular manifold method ⋮ Lump and lump-kink soliton solutions of an extended Boiti-Leon-Manna-Pempinelli equation ⋮ Painlevé analysis, lump-kink solutions and localized excitation solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ New exact solutions of (2+1)-dimensional vDJKM and (3+1)-dimensional BLMP equations

Cites Work

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