Management of breather interactions
We propose theoretically and confirm experimentally a general approach to manage multiple nonlinear interactions of coherent solitary wave structures on an unstable background–-breathers. It allows adjusting the initial positions and phases of more than two moving breathers to observe various desire...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033197 |
| _version_ | 1797210641042243584 |
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| author | Andrey Gelash Gang Xu Bertrand Kibler |
| author_facet | Andrey Gelash Gang Xu Bertrand Kibler |
| author_sort | Andrey Gelash |
| collection | DOAJ |
| description | We propose theoretically and confirm experimentally a general approach to manage multiple nonlinear interactions of coherent solitary wave structures on an unstable background–-breathers. It allows adjusting the initial positions and phases of more than two moving breathers to observe various desired wave states at controllable moments of wave evolution. Our theoretical framework relies on exact multibreather solutions to the one-dimensional focusing nonlinear Schrödinger equation and asymptotic expressions describing shifts of breather positions and phases acquired by them in mutual collisions. As proof-of-principle, we consider a couple of separated pairs of breathers initially synchronized in a small-amplitude patterns; meanwhile, our approach can be generalized to other breather types and wave states. We obtain an explicit expression for the separation interval between the pairs so that the interactions of the breathers from the neighboring patterns lead to the formation of an extreme amplitude wave or recurrence to the initial small-amplitude state. Experiments are carried out on a light wave platform with a nearly conservative optical fiber system, which accurately reproduces the predicted dynamics and proves the viability of our nonlinear wave theory. |
| first_indexed | 2024-04-24T10:13:49Z |
| format | Article |
| id | doaj.art-539dcb1970e445b5ac3b1fa75a3f0800 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:13:49Z |
| publishDate | 2022-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-539dcb1970e445b5ac3b1fa75a3f08002024-04-12T17:24:25ZengAmerican Physical SocietyPhysical Review Research2643-15642022-09-014303319710.1103/PhysRevResearch.4.033197Management of breather interactionsAndrey GelashGang XuBertrand KiblerWe propose theoretically and confirm experimentally a general approach to manage multiple nonlinear interactions of coherent solitary wave structures on an unstable background–-breathers. It allows adjusting the initial positions and phases of more than two moving breathers to observe various desired wave states at controllable moments of wave evolution. Our theoretical framework relies on exact multibreather solutions to the one-dimensional focusing nonlinear Schrödinger equation and asymptotic expressions describing shifts of breather positions and phases acquired by them in mutual collisions. As proof-of-principle, we consider a couple of separated pairs of breathers initially synchronized in a small-amplitude patterns; meanwhile, our approach can be generalized to other breather types and wave states. We obtain an explicit expression for the separation interval between the pairs so that the interactions of the breathers from the neighboring patterns lead to the formation of an extreme amplitude wave or recurrence to the initial small-amplitude state. Experiments are carried out on a light wave platform with a nearly conservative optical fiber system, which accurately reproduces the predicted dynamics and proves the viability of our nonlinear wave theory.http://doi.org/10.1103/PhysRevResearch.4.033197 |
| spellingShingle | Andrey Gelash Gang Xu Bertrand Kibler Management of breather interactions Physical Review Research |
| title | Management of breather interactions |
| title_full | Management of breather interactions |
| title_fullStr | Management of breather interactions |
| title_full_unstemmed | Management of breather interactions |
| title_short | Management of breather interactions |
| title_sort | management of breather interactions |
| url | http://doi.org/10.1103/PhysRevResearch.4.033197 |
| work_keys_str_mv | AT andreygelash managementofbreatherinteractions AT gangxu managementofbreatherinteractions AT bertrandkibler managementofbreatherinteractions |