Symmetry reductions and exact solutions of a variable coefficient \((2+1)\)-Zakharov-Kuznetsov equation
type: Item
instance of: scholarly article
title: Symmetry reductions and exact solutions of a variable coefficient \((2+1)\)-Zakharov-Kuznetsov equation
zbMATH Open document ID: 1390.35311
author: Andrew Gratien Johnpillai
author: Chaudry Masood Khalique
author: Letlhogonolo Daddy Moleleki
published in: Mathematical \& Computational Applications
publication date: 2018-07-05T00:00:00Z
review text: Summary: We study the generalized \((2+1)\)-Zakharov-Kuznetsov (ZK) equation of time dependent variable coefficients from the Lie group-theoretic point of view. The Lie point symmetry generators of a special form of the class of equations are derived. We classify the Lie point symmetry generators to obtain the optimal system of onedimensional subalgebras of the Lie symmetry algebras. These subalgebras are then used to construct a number of symmetry reductions and exact group-invariant solutions to the underlying equation.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 6898806
zbMATH Keywords: generalized ZK equation
zbMATH Keywords: solitons
zbMATH Keywords: Lie symmetries
zbMATH Keywords: optimal system
zbMATH Keywords: symmetry reduction
zbMATH Keywords: group-invariant solutions
MaRDI profile type: Publication
full work available at URL: mca17020132
OpenAlex ID: W2170462748
DOI: 10.3390/MCA17020132
description: scientific article; zbMATH DE number 6898806