文献类型：期刊文献

英文题名：Quasi-periodic wave solutions for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (CBS) equation

作者：Wang, Jun-min[1];Yang, Xiao[2]

通讯作者：Wang, JM[1]

机构：[1]Henan Univ Econ & Law, Dept Informat Sci & Math, Zhengzhou 450002, Henan, Peoples R China;[2]Zhengzhou Univ, Dept Math, Zhengzhou 450002, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Dept Informat Sci & Math, Zhengzhou 450002, Henan, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2012

卷号：75

期号：4

起止页码：2256-2261

外文期刊名：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录：;EI(收录号：20120114652924);Scopus(收录号：2-s2.0-84655169810);WOS:【SCI-EXPANDED(收录号:WOS:000298368600049)】；

基金：This work has been supported by the Natural Science Foundation of Henan Province (2010A110001) and the Basic and Advanced Technology Project of Henan Province (112300410199 and 112300410198).

语种：英文

外文关键词：Hirota bilinear equation; Theta functions; Quasi-periodic wave solutions; The (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (CBS) equation

摘要：The Hirota bilinear method is implemented to directly construct quasi-periodic wave solutions in terms of theta functions for a Hirota bilinear equation. The result is applied to the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (CBS) equation, thereby yielding their quasi-periodic wave solutions under the Backlund transformation u = eta y + 3/delta [lnf (x, y, t)](x). (C) 2011 Elsevier Ltd. All rights reserved.