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Soliton trains and vortex streets as a form of Cerenkov radiation in trapped Bose–Einstein condensates

Carretero-González, R.; Kevrekidis, P.G.; … - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 4, pp. 361-369

We numerically study the nucleation of gray solitons and vortex–antivortex pairs created by a moving impurity in … linear regimes corresponding to small and large velocities. Effectively, the emission of gray solitons and vortex … small density. At longer times, the first nucleation is followed by generation of an array of solitons in 1D (“soliton train …

Persistent link: https://www.econbiz.de/10011050487

On solitons in microstructured solids and granular materials

Salupere, A.; Engelbrecht, J.; Ilison, O.; Ilison, L. - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 5, pp. 502-513

The problems under consideration are related to wave propagation in nonlinear dispersive media, characterised by higher-order nonlinear and higher-order dispersive effects. Particularly two problems — wave propagation in dilatant granular materials and wave propagation in shape-memory alloys...

Persistent link: https://www.econbiz.de/10011050562

A study of nonlinear dispersive equations with solitary-wave solutions having compact support

Wazwaz, A.M. - In: Mathematics and Computers in Simulation (MATCOM) 56 (2001) 3, pp. 269-276

, which exhibits compactons—solitons with finite wavelength—is solved exactly. Two numerical illustrations, K(2,2) and K(3 …

Persistent link: https://www.econbiz.de/10011050745

Numerical simulation of coupled nonlinear Schrödinger equation

Ismail, M.S.; Taha, Thiab R. - In: Mathematics and Computers in Simulation (MATCOM) 56 (2001) 6, pp. 547-562

The coupled nonlinear Schrödinger equation models several interesting physical phenomena. It represents a model equation for optical fiber with linear birefringence. In this paper we introduce a finite difference method for a numerical simulation of this equation. This method is second-order in...

Persistent link: https://www.econbiz.de/10011050774

Fourier–Galerkin method for 2D solitons of Boussinesq equation

Christou, M.A.; Christov, C.I. - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 2, pp. 82-92

We develop a Fourier–Galerkin spectral technique for computing the stationary solutions of 2D generalized wave equations. To this end a special complete orthonormal system of functions in L2(−∞,∞) is used for which product formula is available. The exponential rate of convergence is...

Persistent link: https://www.econbiz.de/10011050949

Simulation of instability of bright solitons for NLS with saturating nonlinearity

Buslaev, V.S.; Grikurov, V.E. - In: Mathematics and Computers in Simulation (MATCOM) 56 (2001) 6, pp. 539-546

the effect of soliton’s “self-compression” under small perturbations and on the trapping phenomena due to collisions. …

Persistent link: https://www.econbiz.de/10011051011

On the uniform convergence of the Chebyshev interpolants for solitons

Chugunova, Marina; Pelinovsky, Dmitry - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 4, pp. 794-803

interpolants for different classes of functions. Rigorous results are illustrated with a number of examples which include solitons …

Persistent link: https://www.econbiz.de/10011051134

A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation

Ismail, M.S.; Taha, Thiab R. - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 4, pp. 302-311

The coupled nonlinear Schrödinger equation models several intersting physical phenomena. It presents a model equation for optical fiber with linear birefringence. In this paper, we present a linearly implicit conservative method to solve this equation. This method is second order accurate in...

Persistent link: https://www.econbiz.de/10011051245

Soliton-like behavior of a canonical quantum system obeying an exclusion-inclusion principle

Kaniadakis, G.; Quarati, P.; Scarfone, A.M. - In: Physica A: Statistical Mechanics and its Applications 255 (1998) 3, pp. 474-482

A justified modification of the real part of the complex non-linearity of a Schrödinger equation, recently proposed G. Kaniadakis, Phys. Rev. A 55 (1997) 941], allows us to obtain a new canonical quantum system obeying an exclusion–inclusion principle. The soliton solutions of this new...

Persistent link: https://www.econbiz.de/10011057917

Collective surface diffusion: An experimentalist's view

Naumovets, A.G. - In: Physica A: Statistical Mechanics and its Applications 357 (2005) 2, pp. 189-215

Surface diffusion (SD) is a really ubiquitous phenomenon playing a highly important part in a wealth of natural and technological processes. The effect of SD is to move surface atoms, molecules and clusters and allow them to assemble into some desirable configurations or, vise versa, to destroy...

Persistent link: https://www.econbiz.de/10011058135