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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.

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Acknowledgements

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

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Authors and Affiliations

  1. School of Mathematics and Big Data, Foshan University, Foshan, 528000, China

    Zhong Wang

  2. Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China

    Zhong Wang & ShangBin Cui

Authors
  1. Zhong Wang
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  2. ShangBin Cui
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Correspondence to Zhong Wang.

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Wang, Z., Cui, S. Multi-solitons for a generalized Davey-Stewartson system. Sci. China Math. 60, 651–670 (2017). https://doi.org/10.1007/s11425-015-0270-9

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  • DOI: https://doi.org/10.1007/s11425-015-0270-9

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