文献类型：期刊文献

中文题名：Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev-Petviashvili Equation

英文题名：Exact solutions for a nonisospectral and variable-coefficient Kadomtsev- Petviashvili equation

作者：Deng, Shu-Fang[1]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2006

卷号：23

期号：7

起止页码：1662

中文期刊名：Chinese Physics Letters

外文期刊名：CHINESE PHYSICS LETTERS

收录：CSTPCD;;EI(收录号：20220711657763);Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000238999500002)】；CSCD:【CSCD2011_2012】；

基金：Supported by the National Natural Science Foundation of China under Grant No 10371070, and the Postdoctoral Science Foundation of China.

语种：英文

中文关键词：DE-VRIES EQUATION; NONUNIFORMITY TERMS; KORTEWEG-DEVRIES; SOLITONS

摘要：The bilinear form for a nonisospectral and variable-coefficient Kadomtsev-Petviashvili equation is obtained and some exact soliton solutions are derived by the Hirota method and Wronskian technique. We also derive the bilinear Backlund transformation from its Lax pairs and find solutions with the help of the obtained bilinear Bgcklund transformation.
The bilinear fprm fpr a nonisospectral and variable-coefficient Kadomstev-Petviashvili equation is obtained and some exact soliton solutions are derived by the Hirota method and Wronskian technique. We also derive the bilinear Backlund transformation from it Lax pairs and find solutions with the help of obtained bilinear Backlund transformation.