Temporal-Spatial Interference Pattern During Solitons Interaction
Li-Chen Zhao, Liming Ling, Zhan-Ying Yang, Jie Liu
TL;DR
This paper investigates the interference patterns formed during soliton interactions, revealing how their spatial and temporal characteristics depend on soliton parameters, with analytical expressions and potential experimental observations in waveguides.
Contribution
It provides analytical formulas for interference pattern periods and proposes a new method to classify nonlinearity in nonlinear systems.
Findings
Spatial interference period depends on soliton relative velocity
Temporal interference pattern depends on peak amplitudes and kinetic energy
Method to classify nonlinearity in nonlinear systems
Abstract
Interference patterns associated with soliton-soliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different characteristics. 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 possibilities to observe these properties of solitons in a nonlinear planar waveguide.
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