Details

Autor(en) / Beteiligte

• Wang, Zhong
• Cui, ShangBin

Titel

Multi-solitons for a generalized Davey-Stewartson system

Ist Teil von

• Science China. Mathematics, 2017-04, Vol.60 (4), p.651-670

Ort / Verlag

Beijing: Science China Press

Erscheinungsjahr

2017

Quelle

SpringerNature Journals

Beschreibungen/Notizen

• 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.