Optical Solitons in Magneto-optic Waveguides with Spatio-temporal Dispersion

Abstract

This paper obtains the exact solution for solitons propagating through magneto-optic waveguides. There are three forms of nonlinear media that are considered. They are Kerr law, power law and log-law nonlinearity. The ansatz approach retrieves bright, dark as well as singular soliton solutions. There are several constraint conditions that needs to be in place for the solitons and Gaussons to exist.

Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation

“…In soliton theories [1][2][3][4][5][6][7][8], as a special kind of rational solution, rogue wave has been published in different fields since Solli et al first reported the existence of optical rogue wave in 2007 [9]. Its lethality is very strong and can lead to devastated impact on the navigation.…”

Embedded Solitons and Conservation Law with χ(2)and χ(3)Nonlinear Susceptibilities

“…In fact, this approach has been successfully applied to extract the soliton solutions to water wave model, plasma physics model as well as in nonlinear optics and nuclear physics. In order to study (297) the details of this model, the starting hypothesis is [1,6,10,11]:…”

“…Optical solitons is one of the most active areas of research in the field of nonlinear optics [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. It is evident, from a variety of reported results, that the main focus is on integrability issue in fiber optics, photonic crystal, metamaterials and metasurfaces.…”

“…Such solitons arise in presence of opposing dispersion and competing nonlinearities at fundamental harmonics (FH) and second harmonics (SH). This is an area of nonlinear optics where very minimal results are visible [11]. In the past, it is only solitons with quadratic nonlinearity that were analyzed in detail and quite a few results were disseminated [1,11].…”

Three kinds of periodic wave solutions and their limit forms for a modified KdV-type equation

“…Many powerful methods have been presented for finding the traveling wave solutions of nonlinear partial differential equations, such as the Bäcklund transformation [10], Darboux transformation [11], inverse scattering method [12], Hirota bilinear method [13], Lie group analysis method [14][15][16], tanh method [17], ansatz method [18,19], bifurcation theory of dynamical system [20,21], exp-function method [22,23], symbolic computation method [24][25][26], and other methods [27][28][29][30].…”