Observation of a different type of splitting solitons induced by interaction of second order spatial solitons

Abstract In this work the behavior of the split solitons derived from the interaction between two (1 + 1)- Dimensional second-order bright spatial solitons, is numerically investigated. Each individual interaction occurs when the two second-order solitons are initially propagating in the parallel way, while the variety of relative phases and the different initial transversal separation are adjusted. When the initial separation distance is on the appropriate distance where they feel the presence of other soliton, both second-order solitons breakup into a couple of first order (fundamental) low- and high-amplitude solitons, and consequently their initial parallel path suffers a lot. Although the propagation path of high- amplitude solitons receive low effects due to interaction and consequently almost follow their initial propagation path, the propagation path of the low-amplitude solitons suffers based on their initial relative phase. The derived low-amplitude fundamental solitons interact with each other and their propagation path also, as usual of their basic interaction properties, while the high-amplitude fundamental solitons, do not show the interaction, and almost continue their own parallel paths. As the initial separation distance decreases, and almost the initial overlap occurs, the propagation paths suffer for both (high and low amplitude) fundamental solitons. Behavior of the broken solitons induced by the interaction between the second order spatial solitons are investigated by solving the Nonlinear Schrodinger equation (NLSE), and it is simulated numerically by MATLAB program by using the well-known Split-Step Fourier Transform method.