State transition induced by self-steepening and self phase-modulation

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 self-steepening and self phase-modulation (SPM) of an associated physical system. It describes five soliton states: a paired bright-bright soliton, single soliton, a paired bright-grey soliton, a paired bright-black soliton, and a rogue wave state. We show that the transition among these five states is induced by self-steepening 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.

4 pages, 6 figures

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Cited by in corpus (2)

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• Symmetric and asymmetric optical multi-peak solitons on a continuous wave background in the femtosecond regime