Direct reduction approach and soliton solutions for the integrable space–time shifted nonlocal Sasa-Satsuma equation

This paper investigates the space–time shifted nonlocal Sasa-Satsuma equation which is constructed by imposing a space–time shifted symmetry constraint on the two-component Sasa-Satsuma system. By applying the direct reduction approach, specific parameter values are determined to obtain N-soliton so...

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Bibliographic Details
Main Authors: Wen-Xin Zhang, Yaqing Liu
Format: Article
Language:English
Published: Elsevier 2023-06-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723003029
Description
Summary:This paper investigates the space–time shifted nonlocal Sasa-Satsuma equation which is constructed by imposing a space–time shifted symmetry constraint on the two-component Sasa-Satsuma system. By applying the direct reduction approach, specific parameter values are determined to obtain N-soliton solutions of the shifted nonlocal equation. The resulting one-soliton and two-soliton solutions are analyzed both theoretically and graphically. Additionally, the asymptotic behavior of two-soliton solution with two purely imaginary eigenvalues is studied. The findings shed light on the mathematical properties and dynamic behaviors of shifted nonlocal integrable systems.
ISSN:2211-3797