Interaction theory of mirror-symmetry soliton pairs in nonlocal nonlinear Schrödinger equation. (April 2019)

• Record Type: Journal Article
• Authors: Song, Li-Min; Yang, Zhen-Jun; Pang, Zhao-Guang; Li, Xing-Liang; Zhang, Shu-Min
• Is Part Of: Applied mathematics letters. Volume 90(2019)
• Page Start: 42
• Page End: 48
• Publication Date: 2019-04
• Subjects: Nonlocal nonlinear Schrödinger equation -- Optical soliton -- Nonlinear propagation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2018.10.008
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this work, we theoretically investigate the evolution of the soliton pairs in strongly nonlocal nonlinear media, which is modeled by the nonlocal nonlinear Schrödinger equation. Taking two pairs of solitons as an example, which initial incident directions have a mirror symmetry, a set of mathematical expressions are derived to describe the soliton pairs' propagation, the soliton spacing, the area of the optical field. The results demonstrate that the motion state of the soliton pairs is mirror-symmetry. Numerical simulations are carried out to illustrate the quintessential propagation properties.