Weak solutions of a mixed problem in a half-strip for a generalized Kawahara equation

We consider a mixed problem in a half-strip for a generalized Kawahara equation describing long nonlinear waves in inhomogeneous media with weak dispersion. We study the existence and uniqueness of generalized solutions in Sobolev weight spaces.

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Bibliographic Details
Published in:	Mathematical Notes Vol. 85; no. 1-2; pp. 90 - 100
Main Authors:	Sangare, K., Faminskii, A. V.
Format:	Journal Article
Language:	English
Published:	Dordrecht SP MAIK Nauka/Interperiodica 01-02-2009
Subjects:	Mathematics Mathematics and Statistics inhomogeneous medium Kawahara equation long nonlinear wave Korteweg-de Vries (KdV) equation Parseval’s equality weak dispersion
Online Access:	Get full text
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Description
Summary:	We consider a mixed problem in a half-strip for a generalized Kawahara equation describing long nonlinear waves in inhomogeneous media with weak dispersion. We study the existence and uniqueness of generalized solutions in Sobolev weight spaces.
ISSN:	0001-4346 1573-8876
DOI:	10.1134/S000143460901009X