Properties of the temporal–spatial interference pattern during soliton interaction

• DOI: 10.1007/s11071-015-2354-0
• Publication Date: 2015-08-28T15:54:21Z
• Authors: Li-Chen Zhao; Liming Ling; Zhan-Ying Yang; Jie Liu
• Keywords: 0103 physical sciences; FOS: Physical sciences; Pattern Formation and Solitons (nlin.PS); Nonlinear Sciences - Pattern Formation and Solitons; 01 natural sciences

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.<br/>5pages, 4 figures<br/>