Inverse scattering for nonlocal reverse-time nonlinear Schrodinger equations

作者：Ma, Wen-Xiu^*

来源：Applied Mathematics Letters, 2020, 102: 106161.

DOI：10.1016/j.aml.2019.106161

• Eigenvalue problem
• Nonlocal reverse-time integrable equation
• Inverse scattering transform
• Riemann-Hilbert problem
• Soliton solution

The paper aims to present the inverse scattering transforms and soliton solutions for nonlocal reverse-time nonlinear Schrodinger equations. The inverse scattering problems are formulated via Riemann-Hilbert problems, and their solutions are determined by the Sokhotski-Plemelj formula, which close the systems for the Jost solutions. Soliton solutions, corresponding to the reflectionless transforms, are generated from zeros and kernel vectors of the Riemann-Hilbert problems with the identity jump matrix.

• 单位
  西北大学; 浙江师范大学