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 verifie...

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Bibliographic Details
Published in:Nonlinear dynamics 2022-10, Vol.110 (2), p.1767-1776
Main Authors: Shen, Shuang, Yang, Zhen-Jun, Wang, Hui, Pang, Zhao-Guang
Format: Article
Language:English
Subjects:
Automotive Engineering
Breathers
Classical Mechanics
Control
Crystals
Dynamical Systems
Engineering
Equivalence
Evolution
Exact solutions
Light
Mechanical Engineering
Nonlinear dynamics
Original Paper
Potential energy
Propagation
Solitary waves
Vibration
Vortices
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-07698-8