期刊
APPLIED MATHEMATICS LETTERS
卷 105, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106291
关键词
Coupled Hirota equations; Birefringent fiber; Semirational solutions
资金
- National Natural Science Foundation of China [11905061]
- Fundamental Research Funds for the Central Universities [2018MS132]
Under investigation in this manuscript is the coupled Hirota equations, which describe the propagation of ultrashort optical pulses in a birefringent fiber or collision of the two waves arisen by severe weather in deep ocean. Based on the generalized Darboux transformation derived before, we obtain the semirational solutions, and properties of the solitons are discussed in detail: Elastic collisions between/among the two/three solitons on the zero-intensity background are shown in figures, which means that the solitons propagate with the stable amplitudes and velocities during the collisions. Also, inelastic collisions between/among the two/three solitons are illustrated, and some of the solitons travel with amplitudes changed. Furthermore, the bound states among the three solitons are observed. (C) 2020 Elsevier Ltd. All rights reserved.
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