Optical solutions of Sasa-Satsuma equation in optical fibers

Optical solitons of Sasa-Satsuma model in birefringent fibers

“…This is a higher-order NLS equation with Kerr dispersion, third-order dispersion and self frequency shift terms. Some meaningful results about this type of model have been reported by researchers over the years [24][25][26][27][28][29]. In [24], González-Ggaxiola et al used Laplace-Adomian decomposition method studied the bright and dark soliton solutions of Sasa-Satsuma equation.…”

“…In [25], Simbawa et al constructed optical wave solutions for the Sasa-Satsuma equation by three methods and performed their stability analysis. In [26], Sun obtained all envelope traveling wave patterns of the Sasa-Satsuma equation by direct integration method. In [27], Yıldırım used the modified simple equation technique to study the soliton pulses for the Sasa-Satsuma equation and obtained different types of soliton solutions.…”

Various new traveling wave solutions for conformable time-fractional Sasa-Satsuma equation

“…Recently, a wide variety of analytic and approximate solution methods have been developed to construct exact solutions of nonlinear partial differential equations (PDEs) and in particular the Sasa-Satsuma equation, such as extended equation method (ETEM) and generalized Kudryashov method [4], new auxiliary method [15], bilinear forms method [19], the direct integration [22], Darboux transformation method [27,28,35], modified simple equation approach [31], trial equation approach [32], Painlevé -Bäcklund transformation [34] and many others [11,12,26,29,33]. In this work, the conformable time-fractional Sasa-Satsuma equation, which reads…”

Periodic solution of the time-space fractional Sasa-Satsuma equation in the monomode optical fibers by the energy balance theory

“…For the special case m = n = 1, eq. ( 1) becomes the classic Sasa-Satsuma equation which is studied by many different powerful methods such as the Riccati equation approach [11], the direct integration method [12], the modified simple equation approach [13], the new auxiliary equation method [14] and so on [15][16][17].…”