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

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

中国物理B ›› 2018, Vol. 27 ›› Issue (12): 120202-120202.doi: 10.1088/1674-1056/27/12/120202

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

Si-Qi Xu(徐思齐), Xian-Guo Geng(耿献国)

1 School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China;
2 College of Civil Engineering, Xinyang Normal University, Xinyang 464000, China

收稿日期:2018-07-11 修回日期:2018-09-15 出版日期:2018-12-05 发布日期:2018-12-05
通讯作者: Si-Qi Xu E-mail:xsq_zzu@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11331008 and 11522112).

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

Si-Qi Xu(徐思齐)^1,2, Xian-Guo Geng(耿献国)¹

1 School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China;
2 College of Civil Engineering, Xinyang Normal University, Xinyang 464000, China

Received:2018-07-11 Revised:2018-09-15 Online:2018-12-05 Published:2018-12-05
Contact: Si-Qi Xu E-mail:xsq_zzu@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11331008 and 11522112).

摘要/Abstract

摘要：

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.

关键词: nonlocal two-wave interaction system, Riemann-Hilbert problem, N-soliton solutions

Abstract:

Key words: nonlocal two-wave interaction system, Riemann-Hilbert problem, N-soliton solutions

中图分类号: (Integrable systems)

02.30.Ik

02.30.Jr (Partial differential equations) 05.45.Yv (Solitons)

徐思齐, 耿献国. N-soliton solutions for the nonlocal two-wave interaction system via the Riemann-Hilbert method[J]. 中国物理B, 2018, 27(12): 120202-120202.

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[J]. Chin. Phys. B, 2018, 27(12): 120202-120202.

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

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

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