State Transition Induced by SelfSteepening and Self PhaseModulation
Abstract
We present a rational solution for a mixed nonlinear Schrödinger (MNLS) equation. This solution has two free parameters, a and b, representing the contributions of selfsteepening and self phasemodulation (SPM) of an associated physical system, respectively. It describes five soliton states: a paired brightbright soliton, a single soliton, a paired brightgrey soliton, a paired brightblack soliton, and a rogue wave state. We show that the transition among these five states is induced by selfsteepening and SPM through tuning the values of a and b. This is a unique and potentially fundamentally important phenomenon in a physical system described by the MNLS equation.
 Publication:

Chinese Physics Letters
 Pub Date:
 January 2014
 DOI:
 10.1088/0256307X/31/1/010502
 arXiv:
 arXiv:1305.1977
 Bibcode:
 2014ChPhL..31a0502H
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 4 pages, 6 figures