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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

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

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

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

Long-range interacting solitons: pattern formation and nonextensive thermostatistics

Guerrero, L.E.; González, J.A. - In: Physica A: Statistical Mechanics and its Applications 257 (1998) 1, pp. 390-394

The nonlinear Klein–Gordon equation with a different potential that satisfies the degeneracy properties discussed in this paper possesses solitonic solutions that interact with long-range forces. We generalize the Ginzburg–Landau equation in such a way that the topological defects supported...

Persistent link: https://www.econbiz.de/10011058823