A Necessary and Sufficient Condition for the Solvability of the Nonlinear Schr(o)dinger Equation on a Finite Interval

• 作者: Ruo-meng LI Xian-guo GENG
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 75-100
• 页数: 26页
• 语种: 英文

摘要

The admissibility of the initial-boundary data,which characterizes the existence of solution for the initial-boundary value problem,is important.Based on the Fokas method and the inverse scattering trans-formation,an approach is developed to solve the initial-boundary value problem of the nonlinear Schr(o)dinger equation on a finite interval.A necessary and sufficient condition for the admissibility of the initial-boundary data is given,and the reconstruction of the potential is obtained.