A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws
type: Item
instance of: scholarly article
title: A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws
zbMATH Open document ID: 1479.37073
published in: Physics Letters. A
publication date: 2021-09-24T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K06
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7400423
zbMATH Keywords: KdV equation
zbMATH Keywords: mKdV equation
zbMATH Keywords: symmetry
zbMATH Keywords: group invariant solutions
zbMATH Keywords: conservation laws
author: Gangwei Wang
author: Abdul H. Kara
MaRDI profile type: Publication
full work available at URL: j.physleta.2018.11.040
OpenAlex ID: W2902144306
cites work: Q3925229
cites work: Q4828547
cites work: Q3715336
cites work: Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation
cites work: A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
cites work: Finite Dimensional Hamiltonians and Almost-Periodic Solutions for 2+1 Dimensional Three-Wave Equations
cites work: Q3945260
cites work: Symmetries and differential equations
cites work: CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
cites work: Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation
cites work: Symmetry analysis and rogue wave solutions for the \((2+1)\)-dimensional nonlinear Schrödinger equation with variable coefficients
cites work: Nonlocal symmetry analysis, explicit solutions and conservation laws for the fourth-order Burgers' equation
cites work: Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended \((2+1)\)-dimensional Zakharov-Kuznetsov-Burgers equation
cites work: Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations
cites work: Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
cites work: Nonlocal symmetry and similarity reductions for a \((2+1)\)-dimensional Korteweg-de Vries equation
cites work: Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
cites work: Direct Construction of Conservation Laws from Field Equations
cites work: The cohomology of invariant variational bicomplexes
cites work: Q4692893
Wikidata QID: Q128861460
DOI: 10.1016/J.PHYSLETA.2018.11.040
Recommended article: Symmetries and group-invariant solutions of the \(m\)KdV equations
Recommended article: Group invariant solutions and conservation laws of \((2+1)\)-dimensional AKNS equation
Recommended article: Lie group analysis, exact solutions and new conservation laws for combined KdV-mKdV equation
Recommended article: Construction of invariant solutions and conservation laws to the \((2+1)\)-dimensional integrable coupling of the KdV equation
Recommended article: Group analysis, nonlinear self-adjointness, conservation laws, and soliton solutions for the mKdV systems
Recommended article: Symmetry Reductions and Group-Invariant Solutions of (2 + 1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
Recommended article: Q3071242
Recommended article: SYMMETRY AND CONSERVATION LAW CLASSIFICATION AND EXACT SOLUTIONS TO THE GENERALIZED KdV TYPES OF EQUATIONS
Recommended article: On the conservation laws and invariant solutions of the mKdV equation
Recommended article: New symmetries, group-invariant solutions, linear differential constraints of a generalized Burgers-KdV equation and its reduction
description: scientific article; zbMATH DE number 7400423