Nonlinear propagation dynamics of lossy tripolar breathers in nonlocal nonlinear media

In this work, the propagation characteristics of tripolar breather trial solution in nonlocal nonlinear media with loss are studied theoretically. The approximate equations of parameters of the tripolar breather are obtained analytically by the variational method. The analytical solution was verified by numerical simulation. Tripolar loss soliton and tripolar loss breather can be formed under suitable incident conditions. By analogy with Newton's laws of motion in classical mechanics, we regard the evolution of the triple breather as a particle with a mass equal to 1. By studying the evolution law of the equivalent force and the equivalent potential energy, the in-depth physical reasons for the periodic evolution of the tripolar breather are analyzed.

Automated summary

This work theoretically studies the propagation characteristics of the tripolar breather trial solution in nonlocal nonlinear media with loss. The approximate equations of the tripolar breather parameters are obtained analytically and verified by numerical simulation. It is found that tripolar loss soliton and tripolar loss breather can be formed under suitable incident conditions. By analogy with Newton's laws of motion in classical mechanics and by studying the evolution law of the equivalent force and potential energy, the physical reasons for the periodic evolution of the tripolar breather are analyzed in depth.