The effects of generalized dispersion on dissipative dynamical systems

Document Type

Article

Publication Date

1-1-1998

Abstract

We study the effects of dispersion on the Kuramoto-Sivashinsky (KS) equation. In the physical problem considered, there is a full dispersion relation corresponding to a pseudo-differential linear operator added to the KS equation. The long wave limit of this term localizes to a KortwegdeVries dispersion and we present results from extensive numerical experiments that compare the long time evolution of the global and local systems. It is found that solutions are almost identical in both fixed point (steady traveling waves) and time periodic attractors. © 1998 Elsevier Science Ltd. All rights reserved.

Identifier

0012604539 (Scopus)

Publication Title

Applied Mathematics Letters

External Full Text Location

https://doi.org/10.1016/S0893-9659(98)00109-8

ISSN

08939659

First Page

93

Last Page

99

Issue

6

Volume

11

Grant

CRG 920097

Fund Ref

University of Cyprus

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