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2ND-HARMONIC RESONANCE IN NONCONSERVATIVE SYSTEMS

Abstract:
The amplitude equations of second-harmonic resonance are studied, for wave amplitudes that exhibit both spatial and temporal variation. We emphasise cases subject to linear growth or damping and also to non-conservative quadratic interactions characterised by complex coupling coefficients. Classes of separable solutions and 'propagating' solutions of permanent form are described and connections are made with previous work. It is found that many, but not all, solutions exhibit singularities. © 1992.
Publication status:
Published

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Publisher copy:
10.1016/0165-2125(92)90017-V

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Journal:
WAVE MOTION More from this journal
Volume:
15
Issue:
2
Pages:
173-183
Publication date:
1992-03-01
DOI:
ISSN:
0165-2125


Pubs id:
pubs:16404
UUID:
uuid:3d761675-cb84-4ee9-8c0d-74b999a7830b
Local pid:
pubs:16404
Source identifiers:
16404
Deposit date:
2012-12-19

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