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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

Generalized forms of the phi-four equation with compactons, solitons and periodic solutions

Wazwaz, Abdul-Majid - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 5, pp. 580-588

In this paper we study two generalized forms of the phi-four equation. Compactons: solitons with the absence of … infinite wings, conventional solitons: nonlinear localized waves with infinite support, solitary patterns solutions having …

Persistent link: https://www.econbiz.de/10010749469

General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations mK(n,n) in higher dimensional spaces

Wazwaz, A.M. - In: Mathematics and Computers in Simulation (MATCOM) 59 (2002) 6, pp. 519-531

(n,n) equations. The focusing branch exhibits compactons: solitons with finite wave lengths, whereas the defocusing branch supports …

Persistent link: https://www.econbiz.de/10010749535

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

Padé numerical method for the Rosenau–Hyman compacton equation

Rus, Francisco; Villatoro, Francisco R. - In: Mathematics and Computers in Simulation (MATCOM) 76 (2007) 1, pp. 188-192

after the interaction of compactons are shown to be independent of the numerical method and its parameters indicating that …

Persistent link: https://www.econbiz.de/10010750095

Compactons and solitary patterns solutions to fifth-order KdV-like equations

Wazwaz, Abdul-Majid - In: Physica A: Statistical Mechanics and its Applications 371 (2006) 2, pp. 273-279

entirely new compactons, solitary patterns and periodic solutions is constructed. The study introduces new approaches and …

Persistent link: https://www.econbiz.de/10010874650

Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential

Deng, X.; Citro, R.; Orignac, E.; Minguzzi, A. - In: The European Physical Journal B - Condensed Matter and … 68 (2009) 3, pp. 435-443

Persistent link: https://www.econbiz.de/10009280426

Slowly moving matter-wave gap soliton propagation in weak random optical lattices

Zhang, M. R.; Jiang, X. Y.; Zhang, Y. L.; Shi, L.; Zi, J.; … - In: The European Physical Journal B - Condensed Matter and … 58 (2007) 3, pp. 269-278

particle moving in random potentials. Based on the effective-particle theory, the effects of the randomness on gap solitons are … obtained and the trajectories of gap solitons are well predicted. Moreover, the general laws that describe the movement …

Persistent link: https://www.econbiz.de/10009280841

1D stability analysis of filtering and controlling the solitons in Bose-Einstein condensates

Nicola, S. De; Fedele, R.; Jovanovic, D.; Malomed, B.; … - In: The European Physical Journal B - Condensed Matter and … 54 (2006) 1, pp. 113-119

We present one-dimensional (1D) stability analysis of a recently proposed method to filter and control localized states of the Bose–Einstein condensate (BEC), based on novel trapping techniques that allow one to conceive methods to select a particular BEC shape by controlling and manipulating...

Persistent link: https://www.econbiz.de/10009281120

Metastable state and macroscopic quantum tunneling of binary mixtures

Liu, C. F.; Tang, Y. - In: The European Physical Journal B - Condensed Matter and … 70 (2009) 2, pp. 193-199

Persistent link: https://www.econbiz.de/10009281271