Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies

By Wenxiu Ma. Nonlinear Analysis: Real world applications, 2019

147 citations recorded by the source corpus.

Abstract A class of Riemann–Hilbert problems on the real axis is formulated for solving the multicomponent AKNS integrable hierarchies associated with a kind of bock matrix spectral problems. Through special Riemann–Hilbert problems where a jump matrix is taken to be the identity matrix, soliton solutions to all integrable equations in each hierarchy are explicitly computed. A class of specific reductions of the presented integrable hierarchies is also made, together with its reduced Lax pairs and soliton solutions.

Subfields: Spectroscopy, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f5db6c3d0d353aec0809935bd0e00aa149ee882c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Spectroscopy

1. Wenxiu Ma
2. Jin-Yun Yang
3. Xing Lü
4. Yuan Zhou

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

• Long-Time Asymptotics of a Three-Component Coupled mKdV System (2019, background): “Observing the structures of Λ and Ω, we can know that the first column of ψ− and the last three columns of ψ+ consist of analytical functions in the upper half plane C+, and the first column of ψ+ and the last three columns of ψ− consist of analytical functions in the lower half plane C− (also see [”