Optical solitons with higher order dispersions in parabolic law medium by trial solution approach

Abstract

This paper obtains bright, dark and singular soliton solutions in optical fibers with parabolic law nonlinearity in presence of third and fourth order dispersions. The trial solutions approach is employed to carry out this integration. Besides solitons, periodic singular solutions are also obtained as a byproduct. The corresponding constraint conditions are also listed.

Optical solitons of conformable space-time fractional NLSE with Spatio-temporal dispersion

“…For example, optical solitons form the basic carriers for signal propagation across long distances. Thanks to several advances in this field, many fascinating developments have placed in our daily lives such as internet activity and social media [1]. In the last two decades, the optical solitons have been examined from different aspects such as birefringent fibers, polarization mode dispersion, conservation laws, etc.…”

Dispersive optical solitons with Schrödinger–Hirota equation by extended trial equation method

“…Optical solitons serve as an amazing jewel in the field of Nonlinear Optics. These soliton molecules form the basic fabric in modern telecommunication industry [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. However, when higher order dispersion, such as third order dispersion (3OD), kicks in, the governing model is Schrödinbger-Hirota equation (SHE) as opposed to the usual nonlinear Schrödinger's equation (NLSE).…”

Dark and singular dispersive optical solitons of Schrödinger–Hirota equation by modified simple equation method

“…Dispersive optical solitons are studied when group velocity dispersion (GVD) is small and needs to be supplemented with third order dispersion (3OD) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The model that accuretely describes this phenomena is the Schrödinger-Hirota equation (SHE) which stems from the familiar nonlinear Schrödinger's equation (NLSE) through Lie transform.…”