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

被引:0
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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;
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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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