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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

An analytic study of compactons structures in a class of nonlinear dispersive equations

Wazwaz, Abdul-Majid - In: Mathematics and Computers in Simulation (MATCOM) 63 (2003) 1, pp. 35-44

In this work, we present an analytic study of the compactons structures in a class of nonlinear dispersive equations. The compactons: new form of solitary waves with compact support and width independent of amplitude, are formally constructed. We further establish solitary patterns solutions for...

Persistent link: https://www.econbiz.de/10010748788

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