Zobrazeno 1 - 10
of 367
pro vyhledávání: '"Whitaker N"'
Rogue waves, and their periodic counterparts, have been shown to exist in a number of integrable models. However, relatively little is known about the existence of these objects in models where an exact formula is unattainable. In this work, we devel
Externí odkaz:
http://arxiv.org/abs/1712.03292
Several methods exist for finding ground (as well as excited) states of nonlinear waves equations. In this paper we first introduce two modifications of the so-called accelerated imaginary-time evolution method (AITEM). In our first modification, tim
Externí odkaz:
http://arxiv.org/abs/1710.05047
The dryland vegetation model proposed by Rietkerk and collaborators has been explored from a bifurcation perspective in several previous studies. Our aim here is to explore in some detail the bifurcation phenomena present when the coefficients of the
Externí odkaz:
http://arxiv.org/abs/1709.06527
In the present work, we revisit the highly active research area of inhomogeneously nonlinear defocusing media and consider the existence, spectral stability and nonlinear dynamics of bright solitary waves in them. We use the anti-continuum limit of v
Externí odkaz:
http://arxiv.org/abs/1507.01996
Autor:
Horne, R. L., Cuevas, J., Kevrekidis, P. G., Whitaker, N., Abdullaev, F. Kh., Frantzeskakis, D. J.
Publikováno v:
J. Phys. A: Math. Theor. 46 (2013) 485101
We study the effects of management of the PT-symmetric part of the potential within the setting of Schr\"odinger dimer and trimer oligomer systems. This is done by rapidly modulating in time the gain/loss profile. This gives rise to a number of inter
Externí odkaz:
http://arxiv.org/abs/1308.3738
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation March 2019 68:319-335
In the present work we focus on the cases of two-site (dimer) and three-site (trimer) configurations, i.e. oligomers, respecting the parity-time (PT) symmetry, i.e., with a spatially odd gain-loss profile. We examine different types of solutions of s
Externí odkaz:
http://arxiv.org/abs/1210.3871
In this paper, we derive and study two versions of the short pulse equation (SPE) in $(2+1)-$dimensions. Using Maxwell's equations as a starting point, and suitable Kramers-Kronig formulas for the permittivity and permeability of the medium, which ar
Externí odkaz:
http://arxiv.org/abs/1206.3000
We study matter-wave dark solitons in atomic Bose-Einstein condensates at finite temperatures, under the effect of linear and periodic potentials. Our model, namely a dissipative Gross-Pitaevskii equation, is treated analytically by means of dark sol
Externí odkaz:
http://arxiv.org/abs/1206.2993
We introduce a general model which augments the one-dimensional nonlinear Schr\"{o}dinger (NLS) equation by nonlinear-diffraction terms competing with the linear diffraction. The new terms contain two irreducible parameters and admit a Hamiltonian re
Externí odkaz:
http://arxiv.org/abs/1202.1273