Bright-dark vector soliton solutions for the coupled complex short pulse equations in nonlinear optics

TL;DR

This paper derives bright-dark vector soliton solutions for coupled complex short pulse equations in nonlinear optics, analyzing their interactions and behaviors using the Hirota method.

Contribution

It presents new bright-dark soliton solutions for coupled complex short pulse equations and analyzes their interactions and bound states.

Findings

Bright-dark soliton solutions are obtained using Hirota method.

Interactions between solitons are elastic, confirmed by asymptotic analysis.

Various soliton interaction behaviors are analyzed under different parameters.

Abstract

Under investigation in this paper are the coupled complex short pulse equations, which describe the propagation of ultra-short optical pulses in cubic nonlinear media.Through the Hirota method, bright-dark one- and two-soliton solutions are obtained. Interactions between two bright or two dark solitons are verified to be elastic through the asymptotic analysis. With different parameter conditions of the vector bright-dark two solitons, the oblique interactions, bound states of solitons and parallel solitons are analyzed.