Riemann–Hilbert problems andN-soliton solutions for a coupled mKdV system

By Wenxiu Ma. Journal of Geometry and Physics, 2018

201 citations recorded by the source corpus.

Abstract A 3  ×  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.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/66cd34931c5cf5b50cb4968689f928319f15f13b

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In Geometry and Topology

1. Wenxiu Ma
2. Jin-Yun Yang
3. Zuo-nong Zhu
4. Ma Wen-Xiu

In Statistical and Nonlinear Physics

1. Wenxiu Ma
2. Jin-Yun Yang
3. Yufeng Zhang
4. Xi-Xiang Xu
5. Xing Lü
6. Yuan Zhou
7. Zuo-nong Zhu
8. Zhenyun Qin

Citations in the corpus

• Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies (2019, methodology): “the general coupled nonlinear Schrödinger equations [3], the Harry Dym equation [4], the generalized Sasa– Satsuma equation [5], the Dullin–Gottwald–Holm equation [6] and a coupled mKdV system [7], have been attempted by solving the associated Riemann–Hilbert problems.”