Exact soliton solutions to a new coupled integrable short light-pulse system

Abstract

In this paper, we investigate the soliton structure of a two-component vector short-pulse system as part of the new multi-component short-pulse system derived by Dimakis, Muller-Hoissen and Matsuno, separately, and describing the propagation of ultra short vector light-pulses in optical fibers. In the wake of the derivation of the Lax-pairs of the system above, we study deeply its inverse scattering transform within the viewpoint of the Wadati–Konno–Ichikawa approach. As a result, we unwrap some interesting scattering features of elastic interactions. Accordingly, we address some physical implications of the results.