Dark–bright soliton interactions for the coupled cubic-quintic nonlinear Schrödinger equations in fiber optics

Abstract

The coupled cubic-quintic nonlinear Schrödinger equations in fiber optics, which describe the effects of quintic nonlinearity on the ultrashort optical pulse propagation in non-Kerr media, are investigated. Using symbolic computation, we derive the dark-bright soliton solutions of such equations. By virtue of asymptotic analysis and graphical analysis, the overtaking and head-on elastic interactions of the two bright and dark solitons are presented. Mixed boundstate solitons also arise when all of the solitons propagate in parallel, displaying the beating effects due to the oscillatory terms, or displaying breather-like structures

Dynamic solitons for the perturbed derivative nonlinear Schrödinger equation in nonlinear optics

“…Solitons are intrinsically nonlinear and exhibit shape-changing collisions, which find immense applications in the all-optical logic gates and optical systems [1][2][3][4][5][6]. Also solitons can be used to carry logical information for communication purposes [7][8][9][10] and can be exploited for quantum computations [11].…”