Soliton interactions and modulation instability for the N-coupled complex short pulse equations in an optical fiber

Abstract

Under investigation in this paper are the N-coupled complex short pulse (N-CSP) equations, which describe the propagation of simultaneous N ultrashort pulses in a nonlinear fiber medium. Through the Hirota method, the m-bright-n-dark [Formula: see text] soliton solutions are obtained. Elastic and inelastic interactions between the mixed-type solitons are derived through the asymptotic analysis. As an example, the oblique interactions and the bound states of the 2-bright-1-dark and 1-bright-2-dark solitons for 3-CSP equations are analyzed graphically. Finally, the condition of the modulation instability of the plane-wave solutions for 2-CSP equations is given through the linear stability analysis.