Dispersive optical solitons with Schrödinger–Hirota equation

Abstract

The dynamics of dispersive optical solitons, modeled by Schrödinger–Hirota equation, are studied in this paper. Bright, dark and singular optical soliton solutions to this model are obtained in presence of perturbation terms that are considered with full nonlinearity. Soliton perturbation theory is also applied to retrieve adiabatic parameter dynamics of bright solitons. Optical soliton cooling is also studied. Finally, exact bright, dark and singular solitons are addressed for birefringent fibers with perturbation terms included.

The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions

“…Subsequently, the multisolitons, breathers, rogue waves, and highorder rogue waves for the Hirota equation (1) were studied by many researchers via generalized Darboux transformation method and other methods [2][3][4][5][6]. For the integrability and other types of solutions of the Hirota model (1), we refer to [7][8][9]. The aim of this paper is to study the modified coupled Hirota equation in the following form [10]:…”

Incoherently coupled photorefractive spatial solitons supported by pyroelectric effects

“…[5][6][7][8] There have been many other recent theoretical studies which demonstrate the diversity and richness of characteristics of optical solitons. [9][10][11][12][13][14][15] Amongst the optical spatial solitons, photorefractive solitons are quite attractive because of generation at low laser powers, typically of the order of a few mW. 16 Photorefractive materials exhibit a saturable nonlinearity and hence, can support steady state optical spatial solitons.…”

Envelope bright- and dark-soliton solutions for the Gerdjikov–Ivanov model

“…Various optical envelope soliton problems have been proposed and studied in the series literature [25][26][27][28][29][30][31][32][33][34]. In Sect.…”