Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Kraenkel, R. A."'
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Proceedings: OCNMP Conference, Bad Ems (Germany), 23-29 June 2024 (August 2, 2024) ocnmp:13812
This work is an analytical investigation of the evolution of surface water waves in Miles and Jeffreys theories of wind wave interaction in water of finite depth. The present review is divided into two major parts. The first corresponds to the surfac
Externí odkaz:
http://arxiv.org/abs/2406.13701
Akademický článek
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We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schr\"{o}dinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transf
Externí odkaz:
http://arxiv.org/abs/1608.04930
Amplification of matter rogue waves and breathers in quasi-two-dimensional Bose-Einstein condensates
Publikováno v:
Eur. Phys. J. B (2016) 89: 30
We construct rogue wave and breather solutions of a quasi-two-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap. We show that the trapping potential and an arbitrary functional parameter that presen
Externí odkaz:
http://arxiv.org/abs/1607.04087
We construct exact solutions for a system of two nonlinear partial differential equations describing the spatio-temporal dynamics of a predator-prey system where the prey per capita growth rate is subject to the Allee effect. Using the $\big(\frac{G'
Externí odkaz:
http://arxiv.org/abs/1209.3630
In order to describe the dynamics of monochromatic surface waves in deep water, we derive a nonlinear and dispersive system of equations for the free surface elevation and the free surface velocity from the Euler equations in infinite depth. From it,
Externí odkaz:
http://arxiv.org/abs/1101.5773
Publikováno v:
Phys. Rev. A 76, 053813 (2007)
The theory of optical dispersive shocks generated in propagation of light beams through photorefractive media is developed. Full one-dimensional analytical theory based on the Whitham modulation approach is given for the simplest case of sharp step-l
Externí odkaz:
http://arxiv.org/abs/0706.1112
Publikováno v:
Phys. Rev. E 75, 016307 (2007)
The Whitham modulation equations for the parameters of a periodic solution are derived using the generalized Lagrangian approach for the case of damped Benjamin-Ono equation. The structure of the dispersive shock in internal wave in deep water is con
Externí odkaz:
http://arxiv.org/abs/nlin/0610039
Publikováno v:
Phys. Rev. A 69, 063605 (2004)
We consider formation of dissipationless shock waves in Bose-Einstein condensates with repulsive interaction between atoms. It is shown that big enough initial inhomogeneity of density leads to wave breaking phenomenon followed by generation of a tra
Externí odkaz:
http://arxiv.org/abs/cond-mat/0310457
Publikováno v:
Phys. Lett. A 319, 406-412 (2003)
The problem of generation of atomic soliton trains in elongated Bose-Einstein condensates is considered in framework of Whitham theory of modulations of nonlinear waves. Complete analytical solution is presented for the case when the initial density
Externí odkaz:
http://arxiv.org/abs/cond-mat/0310278