NUMERICAL SIMULATION OF STANDING SOLITONS AND THEIR INTERACTION

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (12): 1371-1380.

NUMERICAL SIMULATION OF STANDING SOLITONS AND THEIR INTERACTION

周显初, 芮燚

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

收稿日期:2000-01-03 出版日期:2000-12-18 发布日期:2000-12-18
基金资助:
the National Natural Science Foundation of China(19572071);the National Basic Research Project “Nonlinear Science”

NUMERICAL SIMULATION OF STANDING SOLITONS AND THEIR INTERACTION

ZHOU Xian-chu, Rui Yi

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

Received:2000-01-03 Online:2000-12-18 Published:2000-12-18
Supported by:
the National Natural Science Foundation of China(19572071);the National Basic Research Project “Nonlinear Science”

摘要/Abstract

摘要： Standing soliton was studied by numerical simulation of its governing equation, a cubic Schrdiger 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 and 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.

Abstract: Standing soliton was studied by numerical simulation of its governing equation, a cubic Schrdiger 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 and 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.

中图分类号:

O353.1

周显初;芮燚. NUMERICAL SIMULATION OF STANDING SOLITONS AND THEIR INTERACTION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1371-1380.

ZHOU Xian-chu;Rui Yi. NUMERICAL SIMULATION OF STANDING SOLITONS AND THEIR INTERACTION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1371-1380.

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NUMERICAL SIMULATION OF STANDING SOLITONS AND THEIR INTERACTION

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