Compactons and solitary patterns structures for variants of the KdV and the KP equations

Authors:
A. M. Wazwaz
Affiliations:
Department of Mathematics and Computer Science, Saint Xavier University, 3700 West 103rd Street, Chicago, IL
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 5
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Abstract

In this paper we discuss mathematical variants in higher dimensions of the KdV and the KP equations. It is shown that the focusing branches of these variants exhibit compactons: solitons with finite wavelength, whereas the defocusing branches support solitary patterns solutions with infinite slopes or cusps. The study presents a fairly complete understanding of the compact and noncompact dispersive structures.