Dispersive wave propagation of the nonlinear Sasa-Satsuma dynamical system with computational and analytical soliton solutions. (November 2021)

• Record Type: Journal Article
• Authors: Simbawa, Eman; Seadawy, Aly R.; Sugati, Taghreed G.
• Is Part Of: Chaos, solitons and fractals. Volume 152(2021)
• Publication Date: 2021-11
• Subjects: The new generalized form of Sasa-Satsuma model -- Optical soliton solutions -- Modified analytical method -- Numerical and computational methods; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111376
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Nonlinear evolution equations with applications. Computational and analytical soliton solutions. The nonlinear Sasa-Satsuma dynamical system. Dispersive wave propagation of Mathematical Methods. Abstract: The Sasa-Satsuma equation on a continuous background describes a nonlinear fiber system with higher-order effects including the third-order dispersion and Kerr dispersion. The Sasa-Satsuma equations describe the simultaneous propagation of two ultrashort pulses in the birefringent or two-mode fiber with the third-order dispersion, self-steepening, and stimulated Raman in scattering effects, and govern the propagation of ultra-fast pulses in optical fiber transmission systems. We consider the Sasa-Satsuma equation, which is one of the integrable extensions of the nonlinear Schrödinger equations. We find the functional integral and the Lagrangian of this model. We derived the computational and analytical soliton solutions of the nonlinear Sasa-Satsuma dynamical system. We discuss the stability analysis for our solutions.