State Transition Induced by Self-Steepening and Self Phase-Modulation
HE Jing-Song1,2, XU Shu-Wei3, M. S. Ruderman4, R. Erdélyi4
1Department of Mathematics, Ningbo University, Ningbo 315211 2DAMTP, University of Cambridge, Cambridge CB3 0WA, UK 3School of Mathematics, University of Science and Technology of China, Hefei 230026 4Solar Physics and Space Plasma Research Centre, University of Sheffield, Sheffield, S3 7RH, UK
Abstract：We present a rational solution for a mixed nonlinear Schr?dinger (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.
. [J]. 中国物理快报, 2014, 31(1): 10502-010502.
HE Jing-Song, XU Shu-Wei, M. S. Ruderman, R. Erdélyi. State Transition Induced by Self-Steepening and Self Phase-Modulation. Chin. Phys. Lett., 2014, 31(1): 10502-010502.
2014, Vol. 31 
