N-soliton solutions for the nonlocal two-wave interaction system via the Riemann-Hilbert method

doi:10.1088/1674-1056/27/12/120202

Abstract

In this paper, a nonlocal two-wave interaction system from the Manakov hierarchy is investigated via the Riemann-Hilbert approach. Based on the spectral analysis of the Lax pair, a Riemann-Hilbert problem for the nonlocal two-wave interaction system is constructed. By discussing the solutions of this Riemann-Hilbert problem in both the regular and non-regular cases, we explicitly present the N-soliton solution formula of the nonlocal two-wave interaction system. Moreover, the dynamical behaviour of the single-soliton solution is shown graphically.

Keywords: nonlocal two-wave interaction system Riemann-Hilbert problem N-soliton solutions

Received: 11 July 2018
Revised: 15 September 2018
Accepted manuscript online:

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

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11331008 and 11522112).

Corresponding Authors: Si-Qi Xu
E-mail: xsq_zzu@163.com

Cite this article:

Si-Qi Xu(徐思齐), Xian-Guo Geng(耿献国) N-soliton solutions for the nonlocal two-wave interaction system via the Riemann-Hilbert method 2018 Chin. Phys. B 27 120202

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N-soliton solutions for the nonlocal two-wave interaction system via the Riemann-Hilbert method

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