In:
Teoreticheskaya i Matematicheskaya Fizika, Steklov Mathematical Institute, Vol. 203, No. 3 ( 2020-6), p. 323-341
Abstract:
We investigate higher-order nonlinear Schrödinger-Maxwell-Bloch equations using the Riemann-Hilbert method. We perform a spectral analysis of the Lax pair and construct a Riemann-Hilbert problem according to the spectral analysis. As a result, we obtain three types of multisoliton solutions. Based on the analytic solution and with a choice of corresponding parameter values, we obtain solutions of the breather type and a bell-shaped solution and find an interesting phenomenon of the collision of two soliton solutions. We hope that these results can be useful in modeling the wave propagation of a nonlinear optical field in an erbium-doped fiber medium.
Type of Medium:
Online Resource
ISSN:
0564-6162
,
2305-3135
Language:
Russian
Publisher:
Steklov Mathematical Institute
Publication Date:
2020
detail.hit.zdb_id:
2550628-6
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