Zobrazeno 1 - 10
of 275
pro vyhledávání: '"Dmitry E. Pelinovsky"'
Autor:
Dmitry E. Pelinovsky
Publikováno v:
Frontiers in Physics, Vol 9 (2021)
It is shown how to compute the instability rates for the double-periodic solutions to the cubic NLS (nonlinear Schrödinger) equation by using the Lax linear equations. The wave function modulus of the double-periodic solutions is periodic both in sp
Externí odkaz:
https://doaj.org/article/ccba69008ae94912a17f7ed7bf39f53b
Publikováno v:
Physical Review Research, Vol 2, Iss 3, p 033528 (2020)
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 Schr
Externí odkaz:
https://doaj.org/article/225bc4ec4e8a4f92945569a0b2f5c9a2
Publikováno v:
Symmetry, Vol 8, Iss 7, p 59 (2016)
We derive a Hamiltonian version of the PT -symmetric discrete nonlinear Schrödinger equation that describes synchronized dynamics of coupled pendula driven by a periodic movement of their common strings. In the limit of weak coupling between the pen
Externí odkaz:
https://doaj.org/article/f379b7f027f54971a65b203d83e2bcc3
Autor:
Dmitry E. Pelinovsky
This book provides a comprehensive treatment of the Gross–Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose–Einstein condensation as th
Autor:
Dmitry E. Pelinovsky, Szymon Sobieszek
Publikováno v:
Journal of Differential Equations. 341:380-401
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a8e69128bc941ccacc87512ec2b2492
https://doi.org/10.1016/j.jde.2022.09.016
https://doi.org/10.1016/j.jde.2022.09.016
Autor:
Dmitry E. Pelinovsky, Björn de Rijk
Publikováno v:
Nonlinear Dynamics. 111:3679-3687
We consider multiple shock waves in the Burgers' equation with a modular advection term. It was previously shown that the modular Burgers' equation admits a traveling viscous shock with a single interface, which is stable against smooth and exponenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56d9fc57c214953ac365fcc06dd21c94
https://doi.org/10.1007/s11071-022-07873-x
https://doi.org/10.1007/s11071-022-07873-x
Using the Darboux transformation for the Korteweg-de Vries equation, we construct and analyze exact solutions describing the interaction of a solitary wave and a traveling cnoidal wave. Due to their unsteady, wavepacket-like character, these wave pat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9df417ba4a6878a63e3f69a9f94950e6
http://arxiv.org/abs/2301.08154
http://arxiv.org/abs/2301.08154
Autor:
Ana Mucalica, Dmitry E. Pelinovsky
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 478
Rarefaction waves and dispersive shock waves are generated from the step-like initial data in many nonlinear evolution equations including the classical example of the Korteweg–de Vries (KdV) equation. When a solitary wave is injected on the step-l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53ed18c439a212e8c27bff3289156d79
https://doi.org/10.1098/rspa.2022.0474
https://doi.org/10.1098/rspa.2022.0474
Autor:
Nikolay Hristov, Dmitry E. Pelinovsky
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 73
Dynamics of the Fermi-Pasta-Ulam (FPU) system on a two-dimensional square lattice is considered in the limit of small-amplitude long-scale waves with slow transverse modulations. In the absence of transverse modulations, dynamics of such waves, even
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cd38922cf4ea2b65ab7fca3a9a8b125
https://doi.org/10.1007/s00033-022-01846-1
https://doi.org/10.1007/s00033-022-01846-1
Publikováno v:
Studies in Applied Mathematics, 148(1)
We solve the open problem of spectral stability of smooth periodic waves in the Camassa–Holm equation. The key to obtaining this result is that the periodic waves of the Camassa–Holm equation can be characterized by an alternative Hamiltonian str
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b91e1b95479122ef54f02d29c404f2e
https://doi.org/10.1111/sapm.12430
https://doi.org/10.1111/sapm.12430