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

作　　者：Ruo-meng LI Xian-guo GENG 

机构地区：[1]Zhengzhou University,Zhengzhou 450001,China

出　　处：《Acta Mathematicae Applicatae Sinica》2021年第1期75-100,共26页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11931017 and 11871440);by the Henan Youth Talent Support Project(Grant No.2020HYTP001)。

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 transformation,an approach is developed to solve the initial-boundary value problem of the nonlinear Schrodinger 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.

关 键 词：initial-boundary value problems inverse scattering transform method Fokas method 

分 类 号：O175.8[理学—数学]