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

Authors:
Abdul-Majid Wazwaz
Affiliations:
Department of Mathematics and Computer Science, Saint Xavier University, Chicago, IL
Venue:
Mathematics and Computers in Simulation
Year:
2003

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Abstract

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 the defocusing branches of these dispersive models.