Solitons in Optical Metamaterials by Functional Variable Method and First Integral Approach

Abstract

This paper addresses soliton solutions in optical metamaterials by functional variable method and first integral approach. These integration schemes lead to bright and singular 1-soliton solution. Topological soliton solution is also revealed. Additionally, as a byproduct, singular periodic solutions and continuous waves are obtained. The corresponding constraint conditions are also listed for these variety of solutions to exist. Finally, a numerical simulation of the bright 1-soliton solution is given. Keywords: solitons; metamaterials; integrabilityUsers without a subscription are not able to see the full content. Please, subscribe or login to access all content.

Super-sech soliton dynamics in optical metamaterials using collective variables

“…Optical metamaterials as novel type of microstructured material have been extensively studied [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Metamaterials (MMs) are artificial composite structures with both negative permittivity and negative permeability and fascinating physical properties at terahertz and optical frequencies.…”

“…It is well known that soliton is one of the remarkable nonlinear excitations produced by the balance between nonlinearity and group velocity dispersion [9][10][11][13][14][15][16][17][18][19]. Recent researches point out that ultrashort pulses propagating in MMs can be described by a modified generalized nonlinear Schrödinger equation (GNLSE) in which the linear and nonlinear coefficients can be tailored to attain any combination of signs unachievable in ordinary materials [1][2][3][4][5][6][7][8][9][10][11][12][13]. Simply engineering the MMs can tailor linear and nonlinear effective properties.…”

Raman Solitons in Nanoscale Optical Waveguides, with Metamaterials, Having Polynomial Law Nonlinearity Using Collective Variables

“…The dimensionless form nonlinear Schrödinger's equation (NLSE) that governs the propagation of Raman soliton through optical metamaterials, with polynomial law nonlinearity, is given by [16][17][18][19][20][21][22][23][24].…”

Maximum error estimates for a compact difference scheme of the coupled nonlinear Schrödinger–Boussinesq equations

“…Eslami and Mirzazadeh [12] studied a variety of Boussinesq-like equations and obtained exact 1-soliton solutions by applying the first integral method. Biswas et al [13] addressed soliton solutions of the nonlinear Schrödinger equation governing in optical metamaterials by functional variable method and first integral approach. Mirzazadeh et al [14] obtained soliton solutions to the optical coupled nonlinear Schrödinger equations by sine-cosine function method and Bernoulli equation approach.…”