Periodic collision theory of multiple cosine-Hermite-Gaussian solitons in Schrödinger equation with nonlocal nonlinearity. (June 2023)

• Record Type: Journal Article
• Authors: Li, Jie; Yang, Zhen-Jun; Zhang, Shu-Min
• Is Part Of: Applied mathematics letters. Volume 140(2023)
• Publication Date: 2023-06
• Subjects: Nonlinear Schrödinger equation -- Cosine-Hermite-Gaussian soliton -- Periodic collision; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2023.108588
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, the dynamic characteristics of periodic collisions of multiple cosine-Hermite-Gaussian (CHG) solitons in Schrödinger equation with nonlocal nonlinearity is investigated in detail, which can be used to describe the soliton propagation in novel nonlocal nonlinear optical materials. The analytic expression of the interaction of multiple CHG solitons is derived. Taking the interaction of two CHG solitons and four CHG solitons as examples, a series of analytical results of the propagation trajectory, motion velocity, acceleration, light intensity evolution of solitons are given. The typical characteristics of periodic collisions of multiple CHG solitons are illustrated by numerical simulations.