Numerical Simulation of Standing Solitons and Their Interaction

ZHOU Xian-chu; Rui Yi

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ZHOU Xian-chu, Rui Yi. Numerical Simulation of Standing Solitons and Their Interaction[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1238-1246.

Citation:

ZHOU Xian-chu, Rui Yi. Numerical Simulation of Standing Solitons and Their Interaction[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1238-1246.

Citation:

ZHOU Xian-chu, Rui Yi. Numerical Simulation of Standing Solitons and Their Interaction[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1238-1246.

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Numerical Simulation of Standing Solitons and Their Interaction

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

Received Date: 2000-01-03
Publish Date: 2000-12-15

Abstract

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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References(14)

References

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