Finite-Time Singularities of Solutions of a Class of Nonlinear Schrodinger Equations
被引:0
作者:
A. Karabis
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A. Karabis
E. Minchev
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E. Minchev
A. Rauh
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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.
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Liu, Chuangye
Tian, Rushun
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机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
机构:
Cent Univ Finance & Econ, China Inst Actuarial Sci, Beijing 100081, Peoples R ChinaCent Univ Finance & Econ, China Inst Actuarial Sci, Beijing 100081, Peoples R China
Zhang, Ning
Zhao, Liang
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机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, MOE, Beijing 100875, Peoples R ChinaCent Univ Finance & Econ, China Inst Actuarial Sci, Beijing 100081, Peoples R China
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Liu, Chuangye
Tian, Rushun
论文数: 0引用数: 0
h-index: 0
机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
机构:
Cent Univ Finance & Econ, China Inst Actuarial Sci, Beijing 100081, Peoples R ChinaCent Univ Finance & Econ, China Inst Actuarial Sci, Beijing 100081, Peoples R China
Zhang, Ning
Zhao, Liang
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, MOE, Beijing 100875, Peoples R ChinaCent Univ Finance & Econ, China Inst Actuarial Sci, Beijing 100081, Peoples R China