Bright soliton dynamics for seventh degree nonlinear systems with higher-order dispersion

Yunsong Guo, Quan Cheng, Yahia Okacha, Karmand Abdulla Ahmed, Ying Wang, Wei Wang

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Abstract

In this study, we investigate the typical systems modeled by the (3 + 1)-dimensional as well as (1 + 1)-dimensional Schrödinger equations incorporating third-order dispersion effects, higher-order scattering effects, and cubic-fifth-seventh degree nonlinear interactions. We use the F-expansion method and the self-similar method to solve the higher-order Schrödinger equation for one-dimensional and three-dimensional settings, respectively, identifying typical bright soliton solutions under appropriate system settings. The bright soliton features are demonstrated analytically in regions around the soliton peak region. Pictorial bright soliton features are demonstrated for the three-dimensional setting as well as one-dimensional setting. Our work shows the applicability of the theoretical treatment utilized in studying bright soliton dynamics for systems with third-order dispersion and seventh degree nonlinearity.

Original languageEnglish
Article number085102
JournalAIP Advances
Volume11
Issue number8
DOIs
Publication statusPublished - 2 Aug 2021

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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