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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

On the propagation of 1D solitary waves in Mindlin-type microstructured solids

Tamm, Kert; Salupere, Andrus - In: Mathematics and Computers in Simulation (MATCOM) 82 (2012) 7, pp. 1308-1320

The Mindlin model and hierarchical approach by Engelbrecht and Pastrone are used for modelling 1D wave propagation in microstructured solids. After introducing the free energy function, one gets from Euler–Lagrange equations a system of equations of motion. Making use of the slaving principle,...

Persistent link: https://www.econbiz.de/10010751772

Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod

Vallikivi, Margit; Salupere, Andrus; Dai, Hui-Hui - In: Mathematics and Computers in Simulation (MATCOM) 82 (2012) 7, pp. 1348-1362

interacting solitons can be emerged from the initial localised pulses. …

Persistent link: https://www.econbiz.de/10010751788

Compact and noncompact structures in a class of nonlinearly dispersive equations

Wazwaz, Abdul-Majid; Taha, Thiab - In: Mathematics and Computers in Simulation (MATCOM) 62 (2003) 1, pp. 171-189

. We show that the focusing branches provide compactons solutions: solitons with compact support. We also show that the …

Persistent link: https://www.econbiz.de/10010870291

A numerical study of compactons

Ismail, M.S.; Taha, T.R. - In: Mathematics and Computers in Simulation (MATCOM) 47 (1998) 6, pp. 519-530

The Korteweg–de Vries equation has been generalized by Rosenau and Hyman [Compactons: Solitons with finite wavelength … compactons, they re-emerge with the same coherent shape [Rosenau and Hyman, Compactons: Solitons with finite wave length, Phys …

Persistent link: https://www.econbiz.de/10010870509

Abelian solitons

Donagi, Ron Y.; Previato, Emma - In: Mathematics and Computers in Simulation (MATCOM) 55 (2001) 4, pp. 407-418

solitons. …

Persistent link: https://www.econbiz.de/10010870657

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