Asymptotic method for approximation of resonant interaction of nonlinear multidimensional hyperbolic waves

    Aleksandras Krylovas Info
DOI: https://doi.org/10.3846/1392-6292.2008.13.47-54

Abstract

A method of averaging along characteristics of weakly nonlinear hyperbolic systems, which was presented in earlier works of the author for one dimensional waves, is generalized for some cases of multidimensional wave problems. In this work we consider such systems and discuss a way to use the internal averaging along characteristics for new problems of asymptotical integration.

First Published Online: 14 Oct 2010

Keywords:

perturbation methods, averaging, nonlinear hyperbolic equations, waves’ interaction, resonances

How to Cite

Krylovas, A. (2008). Asymptotic method for approximation of resonant interaction of nonlinear multidimensional hyperbolic waves. Mathematical Modelling and Analysis, 13(1), 47-54. https://doi.org/10.3846/1392-6292.2008.13.47-54

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March 31, 2008
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Copyright (c) 2008 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2008-03-31

Issue

Vol 13 No 1 (2008)

Section

Articles

Copyright

Copyright (c) 2008 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Krylovas, A. (2008). Asymptotic method for approximation of resonant interaction of nonlinear multidimensional hyperbolic waves. Mathematical Modelling and Analysis, 13(1), 47-54. https://doi.org/10.3846/1392-6292.2008.13.47-54

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