Riemann-Hilbert problems and N-soliton solutions for a coupled mKdV system

JOURNAL OF GEOMETRY AND PHYSICS

卷:132

Article

Ma, Wen-Xiu^1,2,3 

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[3] North West Univ, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa

关键词: Riemann-Hilbert problem;    N-soliton solution;    Integrable hierarchy;   

DOI  :  10.1016/j.geomphys.2018.05.024

来源: Elsevier

【 摘 要 】

A 3 x 3 matrix spectral problem is introduced and its associated AKNS integrable hierarchy with four components is generated. From this spectral problem, a kind of Riemann-Hilbert problems is formulated for a system of coupled mKdV equations in the resulting AKNS integrable hierarchy. N-soliton solutions to the coupled mKdV system are presented through a specific Riemann Hilbert problem with an identity jump matrix. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free