Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation

Abstract

The main attention of this paper focuses on the dynamical behavior and dispersive optical solitons in birefringent fibers with coupled Schrödinger-Hirota equation. Under the traveling wave transformations, the coupled Schrödinger-Hirota equation is reduced to plane dynamical system. With the help of the theory of planar dynamical 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 computation, we give all the classification of single traveling wave solutions for the coupled nonlinear Schrödinger-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 Schrödinger-Hirota equation.