Observation of modulation instability and rogue breathers on stationary periodic waves
We report an experimental study on the modulation instability process and associated rogue breathers for the case of stationary periodic background waves, namely dnoidal and cnoidal envelopes. Despite being well-known solutions of the nonlinear Schrödinger equation (NLSE), the stability of such back...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033528 |
| _version_ | 1797211251366952960 |
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| author | Gang Xu Amin Chabchoub Dmitry E. Pelinovsky Bertrand Kibler |
| author_facet | Gang Xu Amin Chabchoub Dmitry E. Pelinovsky Bertrand Kibler |
| author_sort | Gang Xu |
| collection | DOAJ |
| description | We report an experimental study on the modulation instability process and associated rogue breathers for the case of stationary periodic background waves, namely dnoidal and cnoidal envelopes. Despite being well-known solutions of the nonlinear Schrödinger equation (NLSE), the stability of such background waves has remained unexplored experimentally until now, unlike the constant-amplitude plane wave. By means of two experimental setups, namely, in nonlinear optics and hydrodynamics, we observe the spontaneous modulation instability gain seeded by input random noise and the formation of rogue breathers induced by a coherent perturbation. Our observations are in excellent agreement with the NLSE dynamics. |
| first_indexed | 2024-04-24T10:23:31Z |
| format | Article |
| id | doaj.art-225bc4ec4e8a4f92945569a0b2f5c9a2 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:23:31Z |
| publishDate | 2020-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-225bc4ec4e8a4f92945569a0b2f5c9a22024-04-12T17:01:36ZengAmerican Physical SocietyPhysical Review Research2643-15642020-09-012303352810.1103/PhysRevResearch.2.033528Observation of modulation instability and rogue breathers on stationary periodic wavesGang XuAmin ChabchoubDmitry E. PelinovskyBertrand KiblerWe report an experimental study on the modulation instability process and associated rogue breathers for the case of stationary periodic background waves, namely dnoidal and cnoidal envelopes. Despite being well-known solutions of the nonlinear Schrödinger equation (NLSE), the stability of such background waves has remained unexplored experimentally until now, unlike the constant-amplitude plane wave. By means of two experimental setups, namely, in nonlinear optics and hydrodynamics, we observe the spontaneous modulation instability gain seeded by input random noise and the formation of rogue breathers induced by a coherent perturbation. Our observations are in excellent agreement with the NLSE dynamics.http://doi.org/10.1103/PhysRevResearch.2.033528 |
| spellingShingle | Gang Xu Amin Chabchoub Dmitry E. Pelinovsky Bertrand Kibler Observation of modulation instability and rogue breathers on stationary periodic waves Physical Review Research |
| title | Observation of modulation instability and rogue breathers on stationary periodic waves |
| title_full | Observation of modulation instability and rogue breathers on stationary periodic waves |
| title_fullStr | Observation of modulation instability and rogue breathers on stationary periodic waves |
| title_full_unstemmed | Observation of modulation instability and rogue breathers on stationary periodic waves |
| title_short | Observation of modulation instability and rogue breathers on stationary periodic waves |
| title_sort | observation of modulation instability and rogue breathers on stationary periodic waves |
| url | http://doi.org/10.1103/PhysRevResearch.2.033528 |
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