Compact and noncompact structures in a class of nonlinearly dispersive equations

Authors:
Abdul-Majid Wazwaz;Thiab Taha
Affiliations:
Department of Mathematics, Saint Xavier University, Chicago, IL;Department of Computer Science, The University of Georgia, Athens, GA
Venue:
Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II
Year:
2003

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Abstract

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.