Finite-Time Singularities of Solutions of a Class of Nonlinear Schrodinger Equations

被引：0
|
作者：
A. Karabis
E. Minchev
A. Rauh
机构：
来源：
International Journal of Theoretical Physics | 1998年 / 37卷
关键词：
Field Theory; Elementary Particle; Quantum Field Theory; Schrodinger Equation; Nonlinear Schrodinger Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Solutions to the initial-boundary value problemfor a class of nonlinear Schrodinger equations areconsidered. Sufficient conditions are found so that thesolutions do not exist for all times t > 0. An explicit upper bound of the t interval ofexistence of the solutions is obtained. The timeevolution of a singularity is demonstrated numericallyin the case of the one-dimensional Schrodingerequation.
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页码：1593 / 1606
页数：13
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