TEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONS

TEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONS

Some new exact solutions are presented for model equations that are customarily used to describe resonant and non-resonant wave interactions in non-conservative systems. The nonlinearities are of cubic order, the linear growth or damping rates are equal and wave amplitudes are assumed to depend only...

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Bibliographic Details
Main Authors: Craik, A, Moroz, I
Format: Journal article
Language:English
Published: 1988
Description
Summary:Some new exact solutions are presented for model equations that are customarily used to describe resonant and non-resonant wave interactions in non-conservative systems. The nonlinearities are of cubic order, the linear growth or damping rates are equal and wave amplitudes are assumed to depend only upon time. A notable feature of the solutions is the possible development of singularities after a finite time. The determination of conditions for such "bursting" sheds light on the likely range of validity of the model equations. © 1988.

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