Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: II Interactions between solitons

TL;DR

This paper explores degenerate soliton interactions in the nonlocal Manakov system, revealing new types of energy sharing collisions, analyzing their dynamics, and identifying conditions for resonant patterns and bound states.

Contribution

It introduces two novel collision types in the nonlocal Manakov system and analyzes their dynamics, energy redistribution, and resonance phenomena, extending understanding beyond the local case.

Findings

Identified three types of energy sharing collisions, including two new ones.

Analyzed changes in quasi-intensity, phase shift, and separation during collisions.

Discovered conditions for resonant patterns and bound states during soliton interactions.

Abstract

In this paper, by considering the degenerate two bright soliton solutions of the nonlocal Manakov system, we bring out three different types of energy sharing collisions for two different parametric conditions. Among the three, two of them are new which do not exist in the local Manakov equation. By performing an asymptotic analysis to the degenerate two-soliton solution, we explain the changes which occur in the quasi-intensity/quasi-power, phase shift and relative separation distance during the collision process. Remarkably, the intensity redistribution reveals that in the new types of shape changing collisions, the energy difference of soliton in the two modes is not preserved during collision. In contrast to this, in the other shape changing collision, the total energy of soliton in the two modes is conserved during collision. In addition to this, by tuning the imaginary parts of the wave numbers, we observe localized resonant patterns in both the scenarios. We also demonstrate the existence of bound states in the CNNLS equation during the collision process for certain parametric values.