General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations mK(n, n) in higher dimensional spaces
In this paper we present a general and unified approach for analyzing the genuinely nonlinear dispersive mK(n, n) equations. The focusing branch exhibits compactons: solitons with finite wave lengths, whereas the defocusing branch supports solutions with solitary patterns. The work formally shows how to construct compact and noncompact solutions for mK(n, n) equations in one-, two- and three-dimensional spatial domains. Two distinct general formulae for each model, that are of substantial interest, are developed for all positive integers n, n > 1 (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.
compactons solitons numerical simulations nonlinear equations