Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schr?dinger-Hirota equation

The main attention of this paper focuses on the dynamical behavior and dispersive optical solitons in birefringent fibers with coupled Schrodinger-Hirota equation. Under the traveling wave transformations, the coupled Schrodinger-Hirota equation is reduced to plane dynamical system. With the help of the theory of planar dynam-ical system, we obtain a range of solutions which contain bell-shaped wave solutions, periodic wave solutions and kink-shaped wave solutions. Then by using the complete discriminant system method and symbolic compu-tation, we give all the classification of single traveling wave solutions for the coupled nonlinear Schrodinger-Hirota equation. It is notable that the obtained results substantially improve or complement the corresponding conditions in the references [19, 20]. As a consequence, this paper gives a new idea to construct dispersive optical solitions for the coupled Schrodinger-Hirota equation.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper studies the dynamical behavior and dispersive optical solitons in birefringent fibers with coupled Schrodinger-Hirota equation. By applying traveling wave transformations and the theory of planar dynamical system, a range of solutions with different waveforms are obtained. The single traveling wave solutions for the coupled nonlinear Schrodinger-Hirota equation are classified using the complete discriminant system method and symbolic computation, improving upon existing conditions and proposing a new method for constructing dispersive optical solitons.