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Quantum lattice representations for vector solitons in external potentials

Vahala, George; Vahala, Linda; Yepez, Jeffrey - In: Physica A: Statistical Mechanics and its Applications 362 (2006) 1, pp. 215-221

vector Manakov solitons. It is found that the exact solutions to the coupled nonlinear Schrodinger equations act like quasi-solitons …

Persistent link: https://www.econbiz.de/10010589682

Information transport by sine-Gordon solitons in microtubules

Abdalla, Elcio; Maroufi, Bouchra; Melgar, Bertha Cuadros; … - In: Physica A: Statistical Mechanics and its Applications 301 (2001) 1, pp. 169-173

We study the problem of information propagation in brain microtubules. After considering the propagation of electromagnetic waves in a fluid of permanent electric dipoles, the problem reduces to the sine-Gordon wave equation in one space and one time dimensions. The problem of propagation of...

Persistent link: https://www.econbiz.de/10010591819

Integrability of a differential-difference KP equation with self-consistent sources

Gegenhasi; Hu, Xing-Biao - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 2, pp. 145-158

We introduce a differential-difference KP equation with self-consistent sources (DΔ KPESCS) which is a generalization of the DΔ KP equation. The integrability of the differential-difference equation is shown through bilinear transformation method and Wronskian technique: it possesses N-soliton...

Persistent link: https://www.econbiz.de/10011050453

Averaged models for passive mode-locking using nonlinear mode-coupling

Proctor, J.; Kutz, J. Nathan - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 4, pp. 333-342

An averaged mode-locking model is presented in which the nonlinear mode-coupling behavior in a wave-guide array, dual-core fiber, and/or fiber array is used to achieve stable and robust passive mode-locking. By using the discrete, nearest-neighbor spatial coupling of these nonlinear...

Persistent link: https://www.econbiz.de/10011050465

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

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