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

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.

References in corpus (5)

• The short pulse equation is integrable
• Solitary wave solutions of the short pulse equation
• The Bi-Hamiltonian Structure of the Short Pulse Equation
• Multi-soliton, multi-breather and higher-order rogue wave solutions to the complex short pulse equation
• Complex short pulse and coupled complex short pulse equations