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

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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

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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