Journal
APPLIED MATHEMATICS LETTERS
Volume 32, Issue -, Pages 35-40Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2014.02.013
Keywords
Coupled nonlinear Schrodinger equation; Modified Darboux transformation; Multi-rogue waves; Multi-breathers
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Funding
- National Natural Science Foundation of China [11375007, 11272120]
- Zhejiang Provincial Natural Science Foundation of China [LY13F050006]
- Scientific Research and Developed Fund of Zhejiang A F University [2013FR065]
- Foundation of New Century 151 Talent Engineering of Zhejiang Province of China
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The coupled nonlinear Schrodinger equation in parity-time symmetric coupled waveguides is studied by means of the modified Darboux transformation method. The hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Some basic properties of multi-rogue waves and multi-breathers including the superposed Kuznetsov-Ma solitons, Akhmediev breathers and their combined structures are discussed. Our results might provide useful information for potential applications of synthetic parity-time symmetric systems in nonlinear optics and condensed matter physics. (C) 2014 Elsevier Ltd. All rights reserved.
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