Multi-solitons for a generalized Davey-Stewartson system  

作　　者：WANG Zhong CUI ShangBin 

机构地区：[1]School of Mathematics and Big Data, Foshan University [2]Department of Mathematics, Sun Yat-Sen University

出　　处：《Science China Mathematics》2017年第4期651-670,共20页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11571381)

摘　　要：This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear SchrSdinger equations and systems developed by Martel et al. to the present non-integrable generalized Davey- Stewartson system and overcoming some new difficulties caused by the nonlocal operator B, we prove the existence of multi-solitons for this system. Furthermore, we also give a generalization of this result to a more general class of equations with nonlocal nonlinearities.This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear Schr¨odinger equations and systems developed by Martel et al. to the present non-integrable generalized DaveyStewartson system and overcoming some new difficulties caused by the nonlocal operator B, we prove the existence of multi-solitons for this system. Furthermore, we also give a generalization of this result to a more general class of equations with nonlocal nonlinearities.

关 键 词：Davey-Stewartson system multi-solitons EXISTENCE NONLOCAL 

分 类 号：O175.25[理学—数学]