Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation

被引：0
作者：
刘汉泽
张丽香
机构：
[1] SchoolofMathematicalSciences,LiaochengUniversity
来源：
Chinese Physics B | 2018年 / 27卷 / 04期
关键词：
Painlevé; test; integrability classification; Lax pair; truncated expansion; exact solution;
D O I：
暂无
中图分类号：
O411 [物理学的数学方法];
学科分类号：
0701 ;
摘要：
This paper is concerned with the generalized variable-coefficient nonlinear evolution equation(vc-NLEE).The complete integrability classification is presented,and the integrable conditions for the generalized variable-coefficient equations are obtained by the Painlev′e analysis.Then,the exact explicit solutions to these vc-NLEEs are investigated by the truncated expansion method,and the Lax pairs(LP) of the vc-NLEEs are constructed in terms of the integrable conditions.
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页码：142 / 147
页数：6
相关论文
共 26 条
[1]  
Xia Y R,Xin X P,Zhang S L. Chin.Phys.B . 2017
[2]  
Zhang Y,Li J B,Lii Y N. Annal Physik . 2008
[3]  
Vaneeva O. Commun.Nonlinear Sci.Numer.Simulat . 2012
[4]  
Ma Z Y,Fei J X,Chen Y M. Applied Mathematics Letters . 2014
[5]  
Zhang Y P,Liu J,Wei G M. Applied Mathematics Letters . 2015
[6]  
Liu H Z,Xin X P. Communications in Theoretical Physics . 2016
[7]  
Feng D H,Li J B. Physics Letters A . 2007
[8]  
Wei G M,Gao Y T,Hu W,Zhang C Y. Eur.Phys. J.B . 2006
[9]  
Ma W X,Bullough R K,Caudrey P J. J.Nonlinear Math.Phys . 1997
[10]  
The Painlev′e handbook. Conte R,Musette M. Springer . 2008
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