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Science China Mathematics

, Volume 60, Issue 4, pp 651–670 | Cite as

Multi-solitons for a generalized Davey-Stewartson system

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Abstract

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 Schrödinger 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.

Keywords

Davey-Stewartson system multi-solitons existence nonlocal 

MSC(2010)

35Q35 76W05 35B65 

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Notes

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 11571381).

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Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.School of Mathematics and Big DataFoshan UniversityFoshanChina
  2. 2.Department of MathematicsSun Yat-Sen UniversityGuangzhouChina

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