Inverse scattering for nonlocal reverse-space multicomponent nonlinear Schrodinger equations

作者：Ma, Wen-Xiu^*; Huang, Yehui; Wang, Fudong

来源：International Journal of Modern Physics B, 2021, 35(4): 2150051.

DOI：10.1142/S021797922150051X

• Matrix spectral problem
• nonlocal reduction
• inverse scattering
• Riemann&#8211
• Hilbert problem
• soliton solution

The paper aims to discuss nonlocal reverse-space multicomponent nonlinear Schrodinger equations and their inverse scattering transforms. The inverse scattering problems are analyzed by means of Riemann-Hilbert problems, and Gelfand-Levitan-Marchenko-type integral equations for generalized matrix Jost solutions are determined by the Sokhotski-Plemelj formula. Soliton solutions are generated from the reflectionless transforms associated with zeros of the Riemann-Hilbert problems.

• 单位
  西北大学; 浙江师范大学