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Published in:
Rogue Waves in Higher Order Nonlinear Schrödinger Models Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Symbolic Computation for Nonlinear Wave Resonances

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

Published in: Extreme Ocean Waves

Publisher: 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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previous chapter An Analytical Model of Large Amplitude Internal Solitary Waves
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Metadata
Title
Symbolic Computation for Nonlinear Wave Resonances
Authors
E. Tobisch (Kartashova)
C. Raab
Ch. Feurer
G. Mayrhofer
W. Schreiner
Copyright Year
2016
Book
Extreme Ocean Waves

Print ISBN: 978-3-319-21574-7

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

Copyright Year: 2016

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