Exact solutions of a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation using Lie symmetry analysis

DOI10.1016/J.AMC.2010.03.135zbMath1195.35265OpenAlexW2090674362MaRDI QIDQ984308

Chaudry Masood Khalique, Abdullahi Rashid Adem

Publication date: 19 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.2010.03.135

zbMATH Keywords

Lie group theoryKadomtsev-Petviashvili equationLie point symmetriesgroup invariant solutions

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) Applications of Lie groups to the sciences; explicit representations (22E70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (10)

Einstein's vacuum field equation: Painlevé analysis and Lie symmetries ⋮ Symmetry analysis and invariant solutions of (3 + 1)-dimensional Kadomtsev–Petviashvili equation ⋮ Bifurcation analysis and solitary-like wave solutions for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations ⋮ Structures of multiple soliton solutions of the generalized, asymmetric and modified Nizhnik-Novikov-Veselov equations ⋮ A new approach for modelling the damped Helmholtz oscillator: applications to plasma physics and electronic circuits ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ Two different systematic techniques to find analytical solutions of the \((2+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Symmetries, traveling wave solutions, and conservation laws of a \((3+1)\)-dimensional Boussinesq equation ⋮ Stationary solutions for the Biswas-Milovic equation ⋮ Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation

Cites Work

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