Zobrazeno 1 - 10
of 332
pro vyhledávání: '"Akhmediev, Nail"'
The spectra of rogue waves of Manakov equations that exist in both focusing or defocusing regimes are derived in analytic form. These spectra are asymmetric during their whole expansion-contraction cycle. They have triangular shape at each side of th
Externí odkaz:
http://arxiv.org/abs/2311.04701
We study higher-order modulation instability phenomena in the frame of Manakov equations. Evolution that starts with a single pair of sidebands expands over several higher harmonics. The choice of initial pair of sidebands influences the structure of
Externí odkaz:
http://arxiv.org/abs/2304.05798
We present exact multi-parameter families of soliton solutions for two- and three-component Manakov equations in the \emph{defocusing} regime. Existence diagrams for such solutions in the space of parameters are presented. Fundamental soliton solutio
Externí odkaz:
http://arxiv.org/abs/2304.05797
We developed an exact theory of the super-regular (SR) breathers of Manakov equations. We have shown that the vector SR breathers do exist both in the cases of focusing and defocusing Manakov systems. The theory is based on the eigenvalue analysis an
Externí odkaz:
http://arxiv.org/abs/2304.05799
We reveal a new class of \textit{non-degenerate} Akhmediev breather (AB) solutions of Manakov equations that only exist in the focusing case. Based on exact solutions, we present the existence diagram of such excitations on the frequency-wavenumber p
Externí odkaz:
http://arxiv.org/abs/2203.03998
We study the dynamics of Kuznetsov-Ma solitons (KMS) in the framework of vector nonlinear Schr\"odinger (Manakov) equations. Exact multi-parameter family of solutions for such KMSs is derived. This family of solutions includes the known results as we
Externí odkaz:
http://arxiv.org/abs/2203.03999
Publikováno v:
Physica D 433 (2022) 133192
In multi-component systems, several rogue waves can be simultaneously excited using simple initial conditions in the form of a plane wave with a small amplitude single-peak perturbation. This is in drastic contrast with the case of multi-rogue waves
Externí odkaz:
http://arxiv.org/abs/2203.03997
Autor:
Crabb, Matthew, Akhmediev, Nail
Publikováno v:
Phys. Rev. E 103,022216 (2021)
Using Levi-Civita's theory of ideal fluids, we derive the complex Korteweg-de Vries (KdV) equation, describing the complex velocity of a shallow fluid up to first order. We use perturbation theory, and the long wave, slowly varying velocity approxima
Externí odkaz:
http://arxiv.org/abs/2102.13204
Autor:
Chabchoub, Amin, Slunyaev, Alexey, Hoffmann, Norbert, Dias, Frederic, Kibler, Bertrand, Genty, Goery, Dudley, John M., Akhmediev, Nail
Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While the Peregrine breather is known to amplify a single localized perturbation of a carrier
Externí odkaz:
http://arxiv.org/abs/2011.13252