| 离散非线性Schrdinger方程的离散呼吸子解的存在性 |
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| 引用本文： | 肖旭峰. 离散非线性Schrdinger方程的离散呼吸子解的存在性[J]. 苏州大学学报(医学版), 2008, 24(2): 33-36 |
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| 作者姓名： | 肖旭峰 |
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| 作者单位： | [1]江南大学理学院,江苏无锡214122 [2]苏州大学数学科学学院,江苏苏州215006 |
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| 摘 要： | 讨论了一维格点系统中参数驱动和有阻尼的离散非线性Schr/dinger方程的离散呼吸子的存在性.我们使用同宿轨的方法证明了当阻尼δ、驱动外力h和耦合常数V满足｜h｜〉｜δ｜〉0,V〉0,ω＋τ〉0时,存在频率为ω=Ω/2的离散呼吸子解,其中τ=h^2-δ^2〉0.
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| 关 键 词： | 离散呼吸子 离散非线性Schrǒdinger方程 同宿轨 |
Existence of discrete breathers of discrete nonlinear Schrfidinger equation |
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| Xiao Xufeng. Existence of discrete breathers of discrete nonlinear Schrfidinger equation[J]. Journal of Suzhou University(Natural Science), 2008, 24(2): 33-36 |
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| Authors: | Xiao Xufeng |
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| Affiliation: | Xiao Xufeng( 1. School of Science, Southern Yangtze Univ., Wuxi 214122, China; 2. School of Mathematic Science, Suzhou Univ., Suzhou 215006, China) |
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| Abstract: | In this paper,we consider the existence of discrete breathers of the discrete nonlinear Schrdinger（DNLS） equation with parametrically driving and damping in one-dimensional lattices.Using homoclinic orbit approach,we prove that discrete breathers with the frequency ω=Ω/2 exist,when the damping force δ,driving force h,frequency ω and coupling coefficient V satisfy ｜h｜〉｜δ｜〉0,V〉0,ω＋τ〉0,where τ=√h^2-δ^2〉0. |
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| Keywords: | discrete breathers discrete nonlinear Schrǒdinger equation homoclinic orbit |
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