-Advanced Models for Tsunami and Rogue Waves
A wavelet , that satisfies the q-advanced differential equation for , is used to model N-wave oscillations observed in tsunamis. Although q-advanced ODEs may seem nonphysical, we present an application that model tsunamis, in particular the Japanese tsunami of March 11, 2011, by utilizing a one-dim...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/414060 |
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| _version_ | 1832551106319745024 |
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| author | D. W. Pravica N. Randriampiry M. J. Spurr |
| author_facet | D. W. Pravica N. Randriampiry M. J. Spurr |
| author_sort | D. W. Pravica |
| collection | DOAJ |
| description | A wavelet , that satisfies the q-advanced differential equation for , is used to model N-wave oscillations observed in tsunamis. Although q-advanced ODEs may seem nonphysical, we present an application that model tsunamis, in particular the Japanese tsunami of March 11, 2011, by utilizing a one-dimensional wave equation that is forced by . The profile is similar to tsunami models in present use. The function is a wavelet that satisfies a q-advanced harmonic oscillator equation. It is also shown that another wavelet, , matches a rogue-wave profile. This is explained in terms of a resonance wherein two small amplitude forcing waves eventually lead to a large amplitude rogue. Since wavelets are used in the detection of tsunamis and rogues, the signal-analysis performance of and is examined on actual data. |
| format | Article |
| id | doaj-art-429273ba744d4dbf80623e1c6908702a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-429273ba744d4dbf80623e1c6908702a2025-02-03T06:04:59ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/414060414060-Advanced Models for Tsunami and Rogue WavesD. W. Pravica0N. Randriampiry1M. J. Spurr2Department of Mathematics, East Carolina University, Greenville, NC 27858, USADepartment of Mathematics, East Carolina University, Greenville, NC 27858, USADepartment of Mathematics, East Carolina University, Greenville, NC 27858, USAA wavelet , that satisfies the q-advanced differential equation for , is used to model N-wave oscillations observed in tsunamis. Although q-advanced ODEs may seem nonphysical, we present an application that model tsunamis, in particular the Japanese tsunami of March 11, 2011, by utilizing a one-dimensional wave equation that is forced by . The profile is similar to tsunami models in present use. The function is a wavelet that satisfies a q-advanced harmonic oscillator equation. It is also shown that another wavelet, , matches a rogue-wave profile. This is explained in terms of a resonance wherein two small amplitude forcing waves eventually lead to a large amplitude rogue. Since wavelets are used in the detection of tsunamis and rogues, the signal-analysis performance of and is examined on actual data.http://dx.doi.org/10.1155/2012/414060 |
| spellingShingle | D. W. Pravica N. Randriampiry M. J. Spurr -Advanced Models for Tsunami and Rogue Waves Abstract and Applied Analysis |
| title | -Advanced Models for Tsunami and Rogue Waves |
| title_full | -Advanced Models for Tsunami and Rogue Waves |
| title_fullStr | -Advanced Models for Tsunami and Rogue Waves |
| title_full_unstemmed | -Advanced Models for Tsunami and Rogue Waves |
| title_short | -Advanced Models for Tsunami and Rogue Waves |
| title_sort | advanced models for tsunami and rogue waves |
| url | http://dx.doi.org/10.1155/2012/414060 |
| work_keys_str_mv | AT dwpravica advancedmodelsfortsunamiandroguewaves AT nrandriampiry advancedmodelsfortsunamiandroguewaves AT mjspurr advancedmodelsfortsunamiandroguewaves |