非传播孤立波及其相互作用的数值模拟

周显初; 芮燚

非传播孤立波及其相互作用的数值模拟

周显初,
芮燚

中国科学院力学研究所, 北京100080

基金项目: 国家自然科学基金资助项目(19572071);国家基础性研究重大项目《非线性科学》资助项目

详细信息

作者简介:
周显初(1939- ),男,浙江奉化人,研究员.

中图分类号: O353.1
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- 被引次数: 0
出版历程
- 收稿日期: 2000-01-03
- 刊出日期: 2000-12-15

Numerical Simulation of Standing Solitons and Their Interaction

Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P R China

摘要

摘要: 通过数值求解由Miles导出的目前公认的的非传播孤立波的控制方程——一个带复共轭项的非线性立方Schr^Ldinger方程,对非传播孤立波进行研究。讨论了Miles方程中的线性阻尼系数α的值,计算表明,线性阻尼α对形成稳定的非传播孤立波影响很大,Laedke等人关于非传播孤立波的稳定性条件只是一个必要条件,而不是充分条件。模拟了两个非传播孤立波的相互作用,数值模拟表明,两个波的作用模式依赖于系统的参数,对不同的初始扰动及其演化的计算表明,只有适当的初始扰动才能形成单个稳定的非传播孤立波,否则扰动可能消失或发展成多个孤立波。
- 孤立波 /
- 非传播孤立波 /
- 立方Schr^Ldinger方程 /
- 数值模拟
Abstract: Standing soliton was studied by numerical simulation of its governing equation,a cubic Schr^Ldiger equation with a complex conjugate term,which was derived by Miles and was accepted. The value of linear damping in Miles equation was studied.Calculations showed that linear damping effects strongly on the formation of a standing soliton and Laedke&Spatschek stable condition is only a necessary condition,but not a sufficient one.The interaction of two standing solitons was simulated.Simulations showed that the interaction pattern depends on system parameters.Calculations for the different initial condition and its development indicated that a stable standing soliton can be formed only for proper initial disturbance,otherwise the disturbance will disappear or develop into several solitons.
- soliton /
- standing soliton /
- cubic Schr^Ldinger equation /
- numerical simulation

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参考文献(14)

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