Temporal 1-Soliton Solution of the Complex Ginzburg-Landau Equation With Power Law Nonlinearity

Abstract

Abstract-This paper obtains the exact 1-soliton solution of the complex Ginzburg-Landau equation with power law nonlinearity that governs the propagation of solitons through nonlinear optical fibers. The technique that is used to carry out the integration of this equation is He's semi-inverse variational principle.

Evolution of Cos-Gaussian Beams in a Strongly Nonlocal Nonlinear Medium

“…Various solitons and breather solutions in the strongly nonlocal nonlinear media have been found [5][6][7][8]. Most of these studies focus on the shapes of optical beams invariant during propagation in linear and nonlinear media [6][7][8][9][10][11][12][13]. However, the study of the evolution of beams with a change in shape during propagation is rarely reported in literature.…”

Topological and non-topological solitons of nonlinear Klein–Gordon equations by He's semi-inverse variational principle

“…The Klein-Gordon equation (KGE) is a relativistic field equation that is most frequently studied for describing the particle dynamics in quantum field theory [1][2][3][4][5][6][7][8][9][10]. There has been a great deal of theoretical work devoted to the study of exact solution of KGE for various potentials.…”

Optical Solitons with Power Law Nonlinearity and Hamiltonian Perturbations: An Exact Solution

“…Some of these techniques are the Inverse Scattering Transform [1], Lie symmetry method [6], He's semi-inverse variational principle [4], exponential function method, G /G method, Adomian decomposition method [24], variational iteration method [25], collective variables approach [21] and many more. In this paper, one such method of integration will be used to carry out the integration of the governing NLSE to obtain the exact 1-soliton solution.…”