Symmetry reductions and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with p-power
type: Item
instance of: scholarly article
title: Symmetry reductions and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with p-power
zbMATH Open document ID: 1185.35244
author: Da-Quan Xian
author: Hanlin Chen
published in: Applied Mathematics and Computation
publication date: 2010-03-31T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K30
zbMATH DE Number: 5688848
zbMATH Keywords: PKPp equation
zbMATH Keywords: Lie group method
zbMATH Keywords: symmetry reduced
zbMATH Keywords: homoclinic test technique
zbMATH Keywords: auxiliary equation
zbMATH Keywords: exact non-traveling wave solution
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: j.amc.2009.12.066
OpenAlex ID: W2067444534
cites work: On the extended applications of homogeneous balance method
cites work: Symbolic computation and various exact solutions of potential Kadomtsev-Petviashvili equation.
cites work: Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method
cites work: Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations
cites work: New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation
cites work: Exact singular and non-singular solitary-wave solutions for Kadomtsev-Petviashvili equation with \(p\)-power of nonlinearity
cites work: Distinct variants of the KdV equation with compact and noncompact structures.
cites work: Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes
cites work: New kinks and solitons solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
cites work: Q3803878
cites work: Reduction and New Explicit Solutions of (2+1)-Dimensional Breaking Soliton Equation
cites work: Exact envelope-soliton solutions of a nonlinear wave equation
cites work: New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations
cites work: Soliton perturbation theory for phi-four model and nonlinear Klein-Gordon equations
DOI: 10.1016/J.AMC.2009.12.066
Recommended article: Symmetry reduced and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with \(p\)-power
Recommended article: Symmetry reduction, exact solutions and conservation laws of the Sawada-Kotera-Kadomtsev-Petviashvili equation
Recommended article: Symmetry reduced and new exact nontraveling wave solutions of \((2 + 1)\)-dimensional potential Boiti-Leon-Manna-Pempinelli equation
Recommended article: Symmetry reductions and traveling wave solutions for the Krichever-Novikov equation
Recommended article: Exact singular and non-singular solitary-wave solutions for Kadomtsev-Petviashvili equation with \(p\)-power of nonlinearity
Recommended article: Nonlocal symmetries and interaction solutions for potential Kadomtsev-Petviashvili equation
Recommended article: Conservation laws, symmetry reductions, and new exact solutions of the (2 + 1)-dimensional Kadomtsev-Petviashvili equation with time-dependent coefficients
Recommended article: Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation
Recommended article: Q4585391
Recommended article: Symmetry reductions and explicit solutions of (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
description: scientific article; zbMATH DE number 5688848