期刊
APPLIED NUMERICAL MATHEMATICS
卷 153, 期 -, 页码 179-187出版社
ELSEVIER
DOI: 10.1016/j.apnum.2020.02.002
关键词
Non-Kerr medium; Rational rogue waves; Semi-rational rogue waves; Coupled cubic-quintic nonlinear Schrodinger system; Darboux transformation
资金
- BUPT Excellent Ph.D.
- Students Foundation [CX2019201]
- National Natural Science Foundation of China [11772017, 11805020, 11471050]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), China [IPOC: 2017ZZ05]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
Non-Kerr media possess certain applications in photonic lattices and optical fibers. Studied in this paper are the vector rational and semi-rational rogue waves in a non-Kerr medium, through the coupled cubic-quintic nonlinear Schrodinger system, which describes the effects of quintic nonlinearity on the ultrashort optical pulse propagation in the medium. Applying the gauge transformations, we derive the Nth-order Darboux transformation and Nth-order vector rational and semi-rational rogue wave solutions, where N is a positive integer. With such solutions, we present three types of the second-order rogue waves with the triangle structure: the one with each component containing three four-petaled rogue waves, the one with each component containing three eye-shaped rogue waves, and the other with one component containing three anti-eye-shaped rogue waves and the other component containing three eye-shaped rogue waves. We exhibit the third-order vector rogue waves with the merged, triangle and pentagon structures in each component. Moreover, we show the first- and second-order vector semi-rational rogue waves which display the coexistence of the rogue waves and the breathers. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
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