State Transition Induced by Self-Steepening and Self Phase-Modulation

He, Jing-Song and Xu, Shu-Wei and S., Ruderman M. and Erdélyi, Róbert (2014) State Transition Induced by Self-Steepening and Self Phase-Modulation. CHINESE PHYSICS LETTERS, 31. ISSN 0256-307X

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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, respectively. It describes five soliton states: a paired bright-bright soliton, a 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.

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