Compact and noncompact structures in a class of nonlinearly dispersive equations

In this work, we study compact and noncompact dispersive structures formed by a class of nonlinear dispersive equations. We show that the focusing branches provide compactons solutions: solitons with compact support. We also show that the defocusing branches generate solitary patterns solutions. We test our work for a variety of nonlinear equations with positive and negative exponents.

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Year of publication:	2003
Authors:	Wazwaz, Abdul-Majid ; Taha, Thiab
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 62.2003, 1, p. 171-189
Publisher:	Elsevier
Subject:	Compactons \| Solitons \| Nonlinear dispersion \| Solitary patterns

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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