Higher-order rogue wave dynamics for a derivative nonlinear Schr"odinger equation
by
Jingsong He(Dept. of Mathematics, Ningbo University - China)
→
Europe/Rome
Aula Conversi (Dipartimento di Fisica - Ed. G.Marconi)
Aula Conversi
Dipartimento di Fisica - Ed. G.Marconi
Description
The the mixed Chen-Lee-Liu derivative nonlinear Schr\"odinger equation (CLL-NLS) can be considered as simplest model to approximate the dynamics of weakly nonlinear and dispersive waves, taking into account the self-steepening effect (SSE). The latter effect arises as a higher-order correction of the nonlinear Schr\"ordinger equation (NLS), which is known to describe the dynamics of optical pulses in nonlinear fiber optics, and constiutes a fundamental part of the generalized NLS. In this work, applying the Darboux transformation, we derive non-vanishing boundary solitons, breathers and a hierarchy of rogue wave solutions of the CLL-NLS. In addition we show that the localization properties of NLS rogue waves can be changed by taking into account the SSE in the CLL-NLS. The results may motivate similar analytical studies, extending the family of the reported rogue wave solutions as well as experiments in several nonlinear dispersive media.
