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 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.