PROJECT TITLE :

Interaction Dynamics of Gap Solitons in Dual-Core Bragg Gratings With Cubic-Quintic Nonlinearity

ABSTRACT:

Interactions between quiescent gap solitons in dual-core Bragg gratings with cubic-quintic nonlinearity are systematically investigated. In a previous work, it was found that the model supports symmetric and asymmetric soliton solutions. For each of these classes, there exist 2 disjoint families of quiescent gap solitons. One family will be thought to be the generalization of the quiescent gap solitons in dual-core Bragg gratings with Kerr nonlinearity (referred to as Type 1). On the opposite hand, the other family is found within the region, where the quintic nonlinearity is dominant (called Kind a pair of). The interactions of in-section Type one uneven solitons end in a range of outcomes, specifically, fusion into a single zero-velocity soliton, asymmetrical separation of solitons, symmetrical separation of solitons, formation of three solitons, and also the destruction of solitons. Within the case of symmetric solitons, interactions of in-phase Sort one solitons might cause fusion in the shape of a quiescent soliton, asymmetrically separating solitons, or the formation of 3 solitons. It is also found that the interaction of in-section asymmetric Type a pair of solitons results in their destruction. Additionally, the consequences of the quintic nonlinearity, coupling coefficients, initial separation, and initial section difference on the outcomes of the interactions are analyzed. Conjointly, within the case of uneven solitons, the outcomes of the soliton-soliton interactions for specular-symmetric and cross-symmetric initial configurations are compared.