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- Title
Coherent structures and sequences of exact kink and anti-kink solutions to the complex cubic–quintic Ginzburg-Landau equation perturbed by intrapulse Raman scattering.
- Authors
Uzunov, Ivan M.; Arabadzhiev, Todor N.; Vassilev, Vassil M.; Nikolov, Svetoslav G.
- Abstract
In this paper we have studied coherent structures composed of kink and anti-kink solutions in the complex cubic–quintic Ginzburg–Landau equation perturbed by intrapulse Raman scattering. We have formulated the required conditions for the parameters of the basic equation for the simultaneous existence of kink and anti-kink solutions. The performed numerical study has shown that such coherent structures preserve the temporal shape of the constituent solutions very well during their propagation. We have found that such structures could be created by means of proper super-Gaussian pulses, which means they represent some eigenmodes of the system. We have also found that sequences of such coherent structures can propagate over long distances without nonlinear interaction between them if the value of the ratio of the distance between them and the full-width half maximum of the structure is equal to two, i.e. in conditions where the classical Schrödinger soliton cannot spread without any interaction. In all the considered cases, even after a merging process has occurred of closely positioned structures, the coherent structures maintain their fronts in accordance with the exact kink and anti-kink solutions of the CCQGLE.
- Subjects
QUINTIC equations; RAMAN scattering; SIMULTANEOUS equations; NONLINEAR optics; FIBER lasers; EQUATIONS
- Publication
Optical & Quantum Electronics, 2023, Vol 55, Issue 14, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-023-05503-3