Multi-solitons for a generalized Davey-Stewartson system

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（4）
• 页码范围: 651-670
• 页数: 20页
• 语种: 英文
• DOI: 10.1007/s11425-015-0270-9

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 Schr(o)dinger 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.