Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Andrey Gelash"'
Publikováno v:
Physical Review Research, Vol 4, Iss 3, p 033197 (2022)
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
Externí odkaz:
https://doaj.org/article/539dcb1970e445b5ac3b1fa75a3f0800
Publikováno v:
Frontiers in Physics, Vol 8 (2020)
Mutual interaction of localized nonlinear waves, e.g., solitons and modulation instability patterns, is a fascinating and intensively-studied topic of nonlinear science. Here we report the observation of a novel type of breather interaction in teleco
Externí odkaz:
https://doaj.org/article/7234502df79b46aca2aff0fe41c012f0
Publikováno v:
Fluids, Vol 4, Iss 2, p 83 (2019)
We numerically investigate pairwise collisions of solitary wave structures on the surface of deep water—breathers. These breathers are spatially localised coherent groups of surface gravity waves which propagate so that their envelopes are stable a
Externí odkaz:
https://doaj.org/article/7eef0ff1f7b74ddb9bd2535996fa7446
Autor:
Andrey Gelash, Anton Raskovalov
We study theoretically the nonlinear interactions of vector breathers propagating on an unstable wavefield background. As a model, we use the two-component extension of the one-dimensional focusing nonlinear Schrodinger equation -- the Manakov system
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78bc09cbf98caa7ccd9d32c870bb85ea
http://arxiv.org/abs/2211.07014
http://arxiv.org/abs/2211.07014
Publikováno v:
Studies in Applied Mathematics. 147:1425-1442
We construct a broad class of solutions of the KP-I equation by using a reduced version of the Grammian form of the $\tau$-function. The basic solution is a linear periodic chain of lumps propagating with distinct group and wave velocities. More gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4870bcbe09f3503c61ecab1eba423227
https://doi.org/10.1111/sapm.12420
https://doi.org/10.1111/sapm.12420
Autor:
Andrey Gelash
The numerical direct and inverse scattering transform applications represent a broad topic of nonlinear wave field studies [1]. Here we investigate various stochastic nonlinear wavefields with the dominant role of a large number of solitons within th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c4198b21786ed14491e1ef022058df1
https://doi.org/10.5194/egusphere-egu22-4744
https://doi.org/10.5194/egusphere-egu22-4744
Publikováno v:
Optica Advanced Photonics Congress 2022.
We configure theoretically using the nonlinear Schrodinger equation model phase synchronized interactions of breather light waves. Then we perform experiments in a nearly conservative optical fiber system, which accurately reproduce the predicted mul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ee7b3e1174acc702859ca4513c7ba8d
https://doi.org/10.1364/np.2022.npm3f.2
https://doi.org/10.1364/np.2022.npm3f.2
Publikováno v:
Physical review. E. 104(4-1)
We consider a spatially extended box-shaped wave field that consists of a plane wave (the condensate) in the middle and equals zero at the edges, in the framework of the focusing one-dimensional nonlinear Schrodinger equation. Within the inverse scat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c53a995f8f9539e8108a18041f9dfb54
https://pubmed.ncbi.nlm.nih.gov/34781490
https://pubmed.ncbi.nlm.nih.gov/34781490
Similar to the theory of direct scattering transform for nonlinear wave fields containing solitons within the focusing one-dimensional nonlinear Schrödinger equation [1], we revisit the theory associated with the Korteweg–De Vries equation. We stu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79e5bbd6cc3f1cdf116dc5f9e96c9de2
https://doi.org/10.5194/egusphere-egu21-1730
https://doi.org/10.5194/egusphere-egu21-1730
The one-dimensional nonlinear Schrodinger equation (NLSE) serves as a universal model of nonlinear wave propagation appearing in different areas of physics. In particular it describes weakly nonlinear wave trains on the surface of deep water and capt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7d10034578626ab67f9dde6a2575021
https://doi.org/10.5194/egusphere-egu21-1720
https://doi.org/10.5194/egusphere-egu21-1720