Temporal Solitons of Modified Complex Ginzberg Landau Equation

Abstract

Abstract-In this paper we have reported soliton solution of one dimensional modified complex Ginzburg Landau equation. The parametric region where such soliton solution is possible is also identified.

Optical Solitons With Higher Order Dispersion by Semi-Inverse Variational Principle

“…Here, in (18), the parameters A and B represent the amplitude and inverse width of the soliton respectively, and the functional f depends on whether the nonlinear function F is Kerr or power. HVP states that the parameters A and B are determined from the solution of the equations [17,32,35]…”

Localized modulated wave solutions in diffusive glucose–insulin systems

“…Many analytical investigations have been carried out to find the envelope soliton solutions of these equations which are localized waves with particle like behavior i.e., preserving their forms in space or in time or both in space and time resulting in spatial, temporal or spatiotemporal solitons, respectively [24]. We assume that the form of the envelope soliton solution of Eq.…”

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

“…The coefficients of a and b are due to dispersion and power law nonlinearity where the parameter m dictates the power law nonlinearity. The terms due to α, β and γ are from the perturbation effects [10,17]. Equation (1) is a nonlinear partial differential equation that is not integrable by the classical method of Inverse Scattering Transform since (1) will fail the Painleve test of integrability [1].…”

“…The dimensionless form of the CGL equation, with power law nonlinearity, which will be studied in this paper, is given by [17] …”