Dynamics analysis of higher-order soliton solutions for the coupled mixed derivative nonlinear Schrodinger equation

In this paper, the dynamics of the higher-order soliton solutions for the coupled mixed derivative nonlinear Schrodinger equation are investigated via generalized Darboux transformation. Given a pair of linearly independent solutions of the Lax pair, the one- to three-soliton solutions are obtained via algebraic iteration. Furthermore, two and three solitons are respectively displayed via numerical simulation. Moreover, the dynamics of solitons are illustrated with corresponding evolution plots, such as elastic collisions, inelastic collisions, and bound states. It is found that there are some novel phenomena of interactions among solitons, which may provide a theoretical basis for studying optical solitons in experiments.

Automated summary

This paper investigates the dynamics of higher-order soliton solutions for the coupled mixed derivative nonlinear Schrodinger equation using generalized Darboux transformation. The one- to three-soliton solutions are obtained through algebraic iteration, and two and three solitons are displayed through numerical simulation. The interactions among solitons are shown to exhibit novel phenomena, providing a theoretical basis for studying optical solitons in experiments.