New shape of the chirped bright, dark optical solitons and complex solutions for (2+1) Ginzburg-Landau equation

Abstract

Investigation of the Ginzburg-Landau equation (GLE) was done to secure new chirped bright, dark periodic and singular function solutions. For this, we used the traveling wave hypothesis and the chirp component. From there it was pointed out the constraint relation to the dierent arbitrary parameters of the GLE. Thereafter, we employed the improved sub-ODE method to handle the nonlinear ordinary differential equation (NODE). It was highlighted the virtue of the used analytical method via new chirped solitary waves. In our knowledge, these results are new, and will be helpful to explain physical phenomenons.

Hybridization of Solitary Wave Solutions in (2+1)-dimentional Complex Ginzburg-Landau Equation

“…Then, its was also used in [36] to obtain new exact periodic and blow up solutions via the homogeneous balance principle and general Jacobi elliptic-function method, and when α = λ = 0, It takes, the name of real equation of Ginzburg-Landau. Recently in [37], an investigation was carried out in order to formulate new shape of the chirped soliton solutions for this equation as well as a study of the modulation instability gain spectrum under the effect of the power incident and the transverse wave number using the linear stability technic. Let us now, glance off the method to be used for the following.…”