| A Necessary and Sufficient Condition for the Solvability of the Nonlinear Schr?dinger Equation on a Finite Interval |
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| 作者姓名： | Ruo-meng LI Xian-guo GENG |
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| 作者单位： | Zhengzhou University |
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| 基金项目： | supported by the National Natural Science Foundation of China(Grant Nos.11931017 and 11871440);by the Henan Youth Talent Support Project(Grant No.2020HYTP001)。 |
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| 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.
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| 关 键 词： | initial-boundary value problems inverse scattering transform method Fokas method |
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