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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On soliton solutions to a class of Schrödinger-K$\mathbf {d}$V systems
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by Chungen Liu and Youquan Zheng PDF
Proc. Amer. Math. Soc. 141 (2013), 3477-3484 Request permission

Abstract:

In this paper, we consider a class of coupled nonlinear Schrödinger-KdV systems in the whole space via the Nehari manifold method. The existence of nontrivial solutions with both of the components nonzero is obtained.
References
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Additional Information
  • Chungen Liu
  • Affiliation: School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, People’s Republic of China
  • Email: liucg@nankai.edu.cn
  • Youquan Zheng
  • Affiliation: School of Mathematical Sciences, Nankai University, Tianjin 300071, People’s Republic of China
  • Email: zhengyq@mail.nankai.edu.cn
  • Received by editor(s): March 30, 2011
  • Received by editor(s) in revised form: December 11, 2011
  • Published electronically: June 12, 2013
  • Additional Notes: The first author was partially supported by NFSC (11071127, 10621101), the 973 Program of STM of China (2011CB808002) and SRFDP
  • Communicated by: Yingfei Yi
  • © Copyright 2013 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 3477-3484
  • MSC (2010): Primary 35J10, 35J50, 35J60
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11629-1
  • MathSciNet review: 3080170