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

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)47-54
Number of pages8
JournalMathematical Modelling and Analysis
Volume13
Issue number1
DOIs
Publication statusPublished - 2008
Externally publishedYes

Fingerprint

Asymptotic Methods
Averaging
Nonlinear Hyperbolic Systems
Approximation
Interaction
Internal

Keywords

  • Averaging
  • Nonlinear hyperbolic equations
  • Perturbation methods
  • Resonances
  • Waves' interaction

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

@article{7c1aee04ff5a4954827a0615820df318,
title = "Asymptotic method for approximation of resonant interaction of nonlinear multidimensional hyperbolic waves",
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.",
keywords = "Averaging, Nonlinear hyperbolic equations, Perturbation methods, Resonances, Waves' interaction",
author = "A. Krylovas",
year = "2008",
doi = "10.3846/1392-6292.2008.13.47-54",
language = "English",
volume = "13",
pages = "47--54",
journal = "Mathematical Modelling and Analysis",
issn = "1392-6292",
publisher = "Vilnius Gediminas Technical University",
number = "1",

}

TY - JOUR

T1 - Asymptotic method for approximation of resonant interaction of nonlinear multidimensional hyperbolic waves

AU - Krylovas, A.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Averaging

KW - Nonlinear hyperbolic equations

KW - Perturbation methods

KW - Resonances

KW - Waves' interaction

UR - http://www.scopus.com/inward/record.url?scp=41149157489&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41149157489&partnerID=8YFLogxK

U2 - 10.3846/1392-6292.2008.13.47-54

DO - 10.3846/1392-6292.2008.13.47-54

M3 - Article

VL - 13

SP - 47

EP - 54

JO - Mathematical Modelling and Analysis

JF - Mathematical Modelling and Analysis

SN - 1392-6292

IS - 1

ER -