Journal of Nonlinear Mathematical Physics

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
Available Online 11 December 2006.
DOI
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 4
Pages
458 - 470
Publication Date
2006/12
ISSN
1402-9251
DOI
https://doi.org/10.2991/jnmp.2001.8.4.2How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - A KRYLOVAS
AU  - R CIEGIS
PY  - 2006
DA  - 2006/12
TI  - Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 458
EP  - 470
VL  - 8
IS  - 4
SN  - 1402-9251
UR  - https://doi.org/10.2991/jnmp.2001.8.4.2
DO  - https://doi.org/10.2991/jnmp.2001.8.4.2
ID  - KRYLOVAS2006
ER  -