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2016 | OriginalPaper | Buchkapitel

Symbolic Computation for Nonlinear Wave Resonances

verfasst von : E. Tobisch (Kartashova), C. Raab, Ch. Feurer, G. Mayrhofer, W. Schreiner

Erschienen in: Extreme Ocean Waves

Verlag: Springer International Publishing

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Abstract

Extreme ocean waves are characterized by the energy concentration in a few chosen waves/modes. Frequency modulation due to the nonlinear resonances is one of the possible processes yielding the appearance of independent wave clusters which keep their energy. Energetic behavior of these clusters is defined by (1) integer solutions of the resonance conditions, and (2) coupling coefficients of the dynamical system on the wave amplitudes. General computation algorithms are presented which can be used for arbitrary three-wave resonant system. Implementation in Mathematica is given for planetary ocean waves. Short discussion concludes the paper.

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Titel: Symbolic Computation for Nonlinear Wave Resonances
verfasst von: E. Tobisch (Kartashova)
C. Raab
Ch. Feurer
G. Mayrhofer
W. Schreiner
Verlag: Springer International Publishing
Buch: Extreme Ocean Waves
Print ISBN: 978-3-319-21574-7

Electronic ISBN: 978-3-319-21575-4

Copyright-Jahr: 2016
DOI: https://doi.org/10.1007/978-3-319-21575-4_12