An analytic study of compacton solutions for variants of Kuramoto-Sivashinsky equation

摘要

In this paper, two mathematical variants of Kuramoto-Sivashinsky equation are examined. A framework is developed for studying these variants in one and higher dimensions. Two distinct sets of general formulae for each variant are developed. Compactons: solitons with compact support, and noncompact dispersive structures are formally established. (C) 2003 Elsevier Inc. All rights reserved. [References: 23]