Classification of single traveling wave solutions to Zakharov-Kuznetsov-modified equal-width equation
type: Item
instance of: scholarly article
zbMATH Open document ID: 1305.34003
author: Hua Xin
publication date: 2014-08-14T00:00:00Z
full work available at URL: 8330.htm
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 6330449
zbMATH Keywords: complete discrimination system for polynomial method
zbMATH Keywords: Zakharov-Kuznetsov-modified equal-width equation
MaRDI profile type: Publication
title: Classification of single traveling wave solutions to Zakharov-Kuznetsov-modified equal-width equation
published in: Far East Journal of Dynamical Systems
review text: Consider the partial differential equation NEWLINE\[NEWLINEu_t+ a(u^3)_x+ (bu_{xt}+ cu_{yy})_x= 0.NEWLINE\]NEWLINE The author studies the existence of traveling waves of the form NEWLINE\[NEWLINEu(t,x,y)= U(k_1x+ k_2 y+ k_3 t).NEWLINE\]NEWLINE He derives an explicit expression for \(U(\xi)\) and gives a classification in dependence on the considered parameters.
reviewed by: Klaus R. Schneider
description: scientific article; zbMATH DE number 6330449