Modeling of Nonlinear Sea Wave Modulation in the Presence of Ice Coverage
A model accounting for the influence of ice coverage on the propagation of surface sea waves is suggested. The model includes higher-order linear and nonlinear terms in the equation of wave motion. The asymptotic solution is obtained to account for nonlinear modulated wave propagation and attenuatio...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/23/4805 |
| _version_ | 1797399836047179776 |
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| author | A. V. Porubov A. M. Krivtsov |
| author_facet | A. V. Porubov A. M. Krivtsov |
| author_sort | A. V. Porubov |
| collection | DOAJ |
| description | A model accounting for the influence of ice coverage on the propagation of surface sea waves is suggested. The model includes higher-order linear and nonlinear terms in the equation of wave motion. The asymptotic solution is obtained to account for nonlinear modulated wave propagation and attenuation. Two kinds of attenuation are revealed. The influence of the higher-order nonlinear, dispersion, and dissipative terms on the shape and velocity of the modulated nonlinear wave is studied. Despite the presence of higher-order terms in the original equation, the modulated solitary wave solution contains free parameters, which is important for the possible generation of such waves. |
| first_indexed | 2024-03-09T01:46:50Z |
| format | Article |
| id | doaj.art-50f542800fac4666bd5b4581ae7fb16b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T01:46:50Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-50f542800fac4666bd5b4581ae7fb16b2023-12-08T15:21:48ZengMDPI AGMathematics2227-73902023-11-011123480510.3390/math11234805Modeling of Nonlinear Sea Wave Modulation in the Presence of Ice CoverageA. V. Porubov0A. M. Krivtsov1Institute for Problems in Mechanical Engineering, Bolshoy 61, V.O., St. Petersburg 199178, RussiaInstitute for Problems in Mechanical Engineering, Bolshoy 61, V.O., St. Petersburg 199178, RussiaA model accounting for the influence of ice coverage on the propagation of surface sea waves is suggested. The model includes higher-order linear and nonlinear terms in the equation of wave motion. The asymptotic solution is obtained to account for nonlinear modulated wave propagation and attenuation. Two kinds of attenuation are revealed. The influence of the higher-order nonlinear, dispersion, and dissipative terms on the shape and velocity of the modulated nonlinear wave is studied. Despite the presence of higher-order terms in the original equation, the modulated solitary wave solution contains free parameters, which is important for the possible generation of such waves.https://www.mdpi.com/2227-7390/11/23/4805nonlinear equationiceasymptotic solutionmodulated wave |
| spellingShingle | A. V. Porubov A. M. Krivtsov Modeling of Nonlinear Sea Wave Modulation in the Presence of Ice Coverage Mathematics nonlinear equation ice asymptotic solution modulated wave |
| title | Modeling of Nonlinear Sea Wave Modulation in the Presence of Ice Coverage |
| title_full | Modeling of Nonlinear Sea Wave Modulation in the Presence of Ice Coverage |
| title_fullStr | Modeling of Nonlinear Sea Wave Modulation in the Presence of Ice Coverage |
| title_full_unstemmed | Modeling of Nonlinear Sea Wave Modulation in the Presence of Ice Coverage |
| title_short | Modeling of Nonlinear Sea Wave Modulation in the Presence of Ice Coverage |
| title_sort | modeling of nonlinear sea wave modulation in the presence of ice coverage |
| topic | nonlinear equation ice asymptotic solution modulated wave |
| url | https://www.mdpi.com/2227-7390/11/23/4805 |
| work_keys_str_mv | AT avporubov modelingofnonlinearseawavemodulationinthepresenceoficecoverage AT amkrivtsov modelingofnonlinearseawavemodulationinthepresenceoficecoverage |