Multi-soliton solutions for the coupled modified nonlinear Schrödinger equations via Riemann-Hilbert approach

doi:10.1088/1674-1056/27/7/070201

Abstract The coupled modified nonlinear Schrödinger equations are under investigation in this work. Starting from analyzing the spectral problem of the Lax pair, a Riemann-Hilbert problem for the coupled modified nonlinear Schrödinger equations is formulated. And then, through solving the obtained Riemann-Hilbert problem under the conditions of irregularity and reflectionless case, N-soliton solutions for the equations are presented. Furthermore, the localized structures and dynamic behaviors of the one-soliton solution are shown graphically.

Keywords: coupled modified nonlinear Schrödinger equations Riemann-Hilbert approach multi-soliton solutions

Received: 30 January 2018
Revised: 20 April 2018
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61072147 and 11271008).

Corresponding Authors: Tie-Cheng Xia
E-mail: xiatc@shu.edu.cn

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Zhou-Zheng Kang(康周正), Tie-Cheng Xia(夏铁成), Xi Ma(马茜) Multi-soliton solutions for the coupled modified nonlinear Schrödinger equations via Riemann-Hilbert approach 2018 Chin. Phys. B 27 070201

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Multi-soliton solutions for the coupled modified nonlinear Schrödinger equations via Riemann-Hilbert approach

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