Jing-Song, H., Shu-Wei, X., Ruderman, M.S. et al. (1 more author) (2014) State Transition Induced by Self-Steepening and Self Phase-Modulation. Chinese Physics Letters, 31 (1). ARTN 010502. ISSN 0256-307X
Abstract
We present a rational solution for a mixed nonlinear Schr¨odinger (MNLS) equation. This solution has two free parameters a and b representing the contributions of self-steepening and self phasemodulation (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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 IOP Publishing. This is an author produced version of a paper subsequently published in Chinese Physics Letters. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Mixed nonlinear Schrodinger equation; state transfer; Alfven wave; ultra-short light pulse; rational solution |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 16 Nov 2016 14:55 |
Last Modified: | 21 Mar 2018 03:20 |
Published Version: | http://doi.org/10.1088/0256-307X/31/1/010502 |
Status: | Published |
Publisher: | IOP Publishing |
Refereed: | Yes |
Identification Number: | 10.1088/0256-307X/31/1/010502 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:106779 |