Properties of the temporal–spatial interference pattern during soliton interaction

Interference patterns associated with soliton–soliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different characteristics through performing the density calculation and asymptotic analysis technic on the well-known two-soliton s...

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Bibliographic Details
Published in:Nonlinear dynamics 2016, Vol.83 (1-2), p.659-665
Main Authors: Zhao, Li-Chen, Ling, Liming, Yang, Zhan-Ying, Liu, Jie
Format: Article
Language:English
Subjects:
Asymptotic properties
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Interference
Kinetic energy
Mathematical analysis
Mechanical Engineering
Nonlinear dynamics
Nonlinear systems
Nonlinearity
Original Paper
Solitary waves
Solitons
Vibration
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Summary:Interference patterns associated with soliton–soliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different characteristics through performing the density calculation and asymptotic analysis technic on the well-known two-soliton solution. The period of the spatial interference pattern is determined by the relative velocity of the solitons, and the temporal pattern behavior is determined by the peak amplitudes and the kinetic energy of the solitons. Analytical expressions for the periods of the interference patterns are obtained. A method for classifying the nonlinearity of many nonlinear systems is proposed. As an example, we discuss what can be read out from the nonlinear interference pattern between solitons in an ultra-cold atom system.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2354-0