A criterion for nonlinear wave stability

Author:

Hasselmann K.

Abstract

Nonlinear resonant wave triads composed of one finite and two infinitesimal components are unstable for sum interactions and neutrally stable for difference interactions. A similar criterion holds for tertiary interactions.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference9 articles.

1. Hasselmann, K. 1966 Feynman diagrams and interaction rules of wave—wave scattering processes.Rev. Geophys. 4,1–32.

2. Benjamin, T. B. & Feir, J. E. 1967 The disintegration of wave trains on deep water. Part 1. Theory.J. Fluid Mech. 27,417–30. Part 2. Experiments. J. Fluid Mech. (to appear).

3. Whitham, G. B. 1967 Variational methods and applications to water waves.Proc. Roy. Soc. A299,6–25.

4. Whitham, G. B. 1966 Nonlinear dispersion of water waves.J. Fluid Mech. 27,399–412.

5. Kelly, R. E. 1967 On the stability of an inviscid shear layer which is periodic in space and time.J. Fluid Mech. 27,657–89.

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