Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 45, Issue -, Pages 13-28Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2016.09.013
Keywords
Nonlocal coupled nonlinear Schrodinger equation; Darboux transformation; Soliton solution; Dynamics and interaction of soliton
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Funding
- National Natural Science Foundation of China (NSFC) [11371248, 11431008]
- RFDP of Higher Education of China [20130073110074]
- NSFC [11271254, 11428102]
- Ministry of Economy and Competitiveness of Spain [MTM2012-37070]
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In this paper, we investigate a general integrable nonlocal coupled nonlinear Schrodinger (NLS) system with the parity-time (PT) symmetry, which contains not only the nonlocal self-phase modulation and the nonlocal cross-phase modulation, but also the nonlocal four-wave mixing terms. This nonlocal coupled NLS system is a nonlocal version of a coupled NLS system. The general N-th Darboux transformation for the nonlocal coupled NLS equation is constructed. By using the Darboux transformation, its soliton solutions are obtained. Dynamics and interactions of different kinds of soliton solutions are discussed. (C) 2016 Elsevier B.V. All rights reserved.
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