Dynamics and interactions of bound-state Solitons for a coupled Hirota system with negative coherent coupling

Abstract

In this paper, We investigate the dynamics and interactions of bound-state solitons in a coupled Hirota system with negative coherent coupling. Using the $N$th-order binary Darboux transformation, we derive $N$-soliton solutions and analyze four distinct cases of bound-state soliton dynamics through spectral parameter constraints. Our results demonstrate how the higher-order perturbation parameter $\varepsilon$ modulates nonlinear coupling, governing transitions between fusion, fission, and mixed interaction states. These findings provide new insights into soliton manipulation in nonlinear optical media and complex coupled systems, with potential applications in optical communications and signal processing.