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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| Format: | Journal article |
| Language: | English |
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1988
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| _version_ | 1826282782516576256 |
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| author | Craik, A Moroz, I |
| author_facet | Craik, A Moroz, I |
| author_sort | Craik, A |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T00:49:03Z |
| format | Journal article |
| id | oxford-uuid:85bab0c3-ced2-4868-8940-0bd16ab8489c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:49:03Z |
| publishDate | 1988 |
| record_format | dspace |
| spelling | oxford-uuid:85bab0c3-ced2-4868-8940-0bd16ab8489c2022-03-26T21:59:24ZTEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:85bab0c3-ced2-4868-8940-0bd16ab8489cEnglishSymplectic Elements at Oxford1988Craik, AMoroz, ISome 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. |
| spellingShingle | Craik, A Moroz, I TEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONS |
| title | TEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONS |
| title_full | TEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONS |
| title_fullStr | TEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONS |
| title_full_unstemmed | TEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONS |
| title_short | TEMPORAL EVOLUTION OF INTERACTING WAVES IN NON-CONSERVATIVE SYSTEMS - SOME EXACT-SOLUTIONS |
| title_sort | temporal evolution of interacting waves in non conservative systems some exact solutions |
| work_keys_str_mv | AT craika temporalevolutionofinteractingwavesinnonconservativesystemssomeexactsolutions AT morozi temporalevolutionofinteractingwavesinnonconservativesystemssomeexactsolutions |