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Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation
We report experimental confirmation of the universal emergence of the Peregrine soliton predicted to occur during pulse propagation in the semi-classical limit of the focusing nonlinear Schrodinger equation. Using an optical fiber based system, measurements of temporal focussing of high power pulses...
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| Main Authors: | , , , , , , , , , , |
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| Format: | Default Article |
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2017
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| Subjects: | |
| Online Access: | https://hdl.handle.net/2134/25590 |
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| _version_ | 1805987879803944960 |
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| author | Alexey Tikan Cyril Billet Gennady El Alexander Tovbis Marco Bertola Thibaut Sylvestre Francois Gustave Stephane Randoux Goery Genty Pierre Suret John M. Dudley |
| author_facet | Alexey Tikan Cyril Billet Gennady El Alexander Tovbis Marco Bertola Thibaut Sylvestre Francois Gustave Stephane Randoux Goery Genty Pierre Suret John M. Dudley |
| author_sort | Alexey Tikan (7162427) |
| collection | Figshare |
| description | We report experimental confirmation of the universal emergence of the Peregrine soliton predicted to occur during pulse propagation in the semi-classical limit of the focusing nonlinear Schrodinger equation. Using an optical fiber based system, measurements of temporal focussing of high power pulses reveal both intensity and phase signatures of the Peregrine soliton during the initial nonlinear evolution stage. Experimental and numerical results are in very good agreement, and show that the universal mechanism that yields the Peregrine soliton structure is highly robust and can be observed over a broad range of parameters. |
| format | Default Article |
| id | rr-article-9389132 |
| institution | Loughborough University |
| publishDate | 2017 |
| record_format | Figshare |
| spelling | rr-article-93891322017-07-18T00:00:00Z Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation Alexey Tikan (7162427) Cyril Billet (7162430) Gennady El (1258536) Alexander Tovbis (7161533) Marco Bertola (7161977) Thibaut Sylvestre (3974525) Francois Gustave (7161965) Stephane Randoux (7159871) Goery Genty (7162433) Pierre Suret (7159868) John M. Dudley (3957515) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified We report experimental confirmation of the universal emergence of the Peregrine soliton predicted to occur during pulse propagation in the semi-classical limit of the focusing nonlinear Schrodinger equation. Using an optical fiber based system, measurements of temporal focussing of high power pulses reveal both intensity and phase signatures of the Peregrine soliton during the initial nonlinear evolution stage. Experimental and numerical results are in very good agreement, and show that the universal mechanism that yields the Peregrine soliton structure is highly robust and can be observed over a broad range of parameters. 2017-07-18T00:00:00Z Text Journal contribution 2134/25590 https://figshare.com/articles/journal_contribution/Universality_of_the_Peregrine_soliton_in_the_focusing_dynamics_of_the_cubic_nonlinear_Schr_dinger_equation/9389132 CC BY-NC-ND 4.0 |
| spellingShingle | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified Alexey Tikan Cyril Billet Gennady El Alexander Tovbis Marco Bertola Thibaut Sylvestre Francois Gustave Stephane Randoux Goery Genty Pierre Suret John M. Dudley Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation |
| title | Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation |
| title_full | Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation |
| title_fullStr | Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation |
| title_full_unstemmed | Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation |
| title_short | Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation |
| title_sort | universality of the peregrine soliton in the focusing dynamics of the cubic nonlinear schrödinger equation |
| topic | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/25590 |