Multi-soliton solutions, breather-like and bound-state solitons for complex modified Korteweg–de Vries equation in optical fibers

Under investigation in this paper is a complex modified Korteweg–de Vries (KdV) equation, which describes the propagation of short pulses in optical fibers. Bilinear forms and multi-soliton solutions are obtained through the Hirota method and symbolic computation. Breather-like and bound-state solit...

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Bibliographic Details
Published inChinese physics B Vol. 33; no. 6; pp. 60201 - 122
Main Author Lan, Zhong-Zhou
Format Journal Article
LanguageEnglish
Published Chinese Physical Society and IOP Publishing Ltd 01.05.2024
Subjects
bound-state
breather-like
complex modified KdV equation
multi-soliton solutions
bound-state
multi-soliton solutions
complex modified KdV equation
breather-like
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Summary:Under investigation in this paper is a complex modified Korteweg–de Vries (KdV) equation, which describes the propagation of short pulses in optical fibers. Bilinear forms and multi-soliton solutions are obtained through the Hirota method and symbolic computation. Breather-like and bound-state solitons are constructed in which the signs of the imaginary parts of the complex wave numbers and the initial separations of the two parallel solitons are important factors for the interaction patterns. The periodic structures and position-induced phase shift of some solutions are introduced.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/ad39d7