(Invited) Kink solutions of the complex cubic– quintic Ginzburg-Landau equation in the presence of intrapulse Raman scattering

Abstract

We present a study of solutions of the complex cubic–quintic Ginzburg-Landau equation (CCQGLE) and CCQGLE perturbed with the term responsible for the intrapulse Raman scattering (IRS). In both cases, using the method of first-order autonomous sub-equations, novel exact kink and antikink solutions have been identified. These solutions are represented in explicit analytic form. The numerical investigation of the influence of the IRS on the shape, amplitude, and velocity of the right side of the observed "front" CCQGLE solution revealed a good correlation with the identical features predicted by the newly discovered exact kink solution.