Riemann-Hilbert problems of a nonlocal reverse-time six-component AKNS system of fourth order and its exact soliton solutions

作者：Adjiri, Alle^*; Ahmed, Ahmed M. G.^*; Ma, Wen-Xiu

来源：International Journal of Modern Physics B, 2021, 35(3): 2150035.

DOI：10.1142/S0217979221500351

• Riemann-Hilbert problem
• inverse scattering
• soliton solution
• reverse-time
• higher order nonlinear Schrodinger equation
• soliton dynamics

We investigate the solvability of an integrable nonlinear nonlocal reverse-time six-component fourth-order AKNS system generated from a reduced coupled AKNS hierarchy under a reverse-time reduction. Riemann-Hilbert problems will be formulated by using the associated matrix spectral problems, and exact soliton solutions will be derived from the reflectionless case corresponding to an identity jump matrix.

• 单位
  浙江师范大学; 西北大学