Solitonic coalescence and rogue waves for the coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fiber

Chen-Rong Zhang, Bo Tian, Lei Liu, Han-Peng Chai and Hui-Min Yin

Chaos, Solitons & Fractals, 2020, vol. 136, issue C

Abstract: Coupled nonlinear Schrödinger system with negative coherent coupling in a weakly birefringent fiber is hereby studied. For the slowly varying envelopes of two interacting optical modes, analytic soliton solutions with the coalescence of eigenvalues are derived. Based on the asymptotic analyses, we find three kinds of the counterpropagating solitons, indicating that they consist of the so-called nondegenerate or degenerate solitons. From the plane-wave seed solutions with the certain eigenvalues, single-peak rogue waves are exhibited as well.

Keywords: Weakly birefringent fiber; Coupled nonlinear Schrödinger system; Solitonic coalescence; Asymptotic analyses; Rogue waves (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:136:y:2020:i:c:s096007792030165x

DOI: 10.1016/j.chaos.2020.109763

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