Journal of Nonlinear Mathematical Physics

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Volume 8, Issue 4, November 2001, Pages 458 - 470

Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems

Authors
A. Krylovas, R. Ciegis
Corresponding Author
A. Krylovas
Received 11 April 2001, Revised 7 July 2001, Accepted 20 July 2001, Available Online 1 November 2001.
DOI
10.2991/jnmp.2001.8.4.2How to use a DOI?
Abstract

An averaging method for getting uniformly valid asymptotic approximations of the solution of hyperbolic systems of equations is presented. The averaged system of equtions disintegrates into independent equations for non-resonance systems. We consider the resonance conditions for some classes of solutions. The averaged system can be solved numerically in the resonance case. The shallow water problem is considered as an example of the resonance system. Results of numerical experiments are presented.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 4
Pages
458 - 470
Publication Date
2001/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.4.2How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - A. Krylovas
AU  - R. Ciegis
PY  - 2001
DA  - 2001/11/01
TI  - Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 458
EP  - 470
VL  - 8
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.4.2
DO  - 10.2991/jnmp.2001.8.4.2
ID  - Krylovas2001
ER  -