Experimental and Theoretical Determination of the Limiting Amplitude and Minimal Length of Solitary Waves in a Weakly Dispersed Shallow Sea
This paper describes the analysis of field measurements of a wave bore on the pycnocline of a shallow sea, carried out using vertically placed thermal resistors. The space-time structure of the bore is subjected to hydrodynamic interpretation using the mathematical model of a weakly dispersed shallo...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2019-05, Vol.60 (3), p.457-461 |
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| container_title | Journal of applied mechanics and technical physics |
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| creator | Novotryasov, V. V. Permyakov, M. S. |
| description | This paper describes the analysis of field measurements of a wave bore on the pycnocline of a shallow sea, carried out using vertically placed thermal resistors. The space-time structure of the bore is subjected to hydrodynamic interpretation using the mathematical model of a weakly dispersed shallow sea, which accounts for the influence of cubic nonlinearity and low-frequency dispersion. The limiting amplitude and minimal length of soliton solutions of the model are determined. An algorithm for estimating the given parameters on the basis of measurement data of bore-induced isotherm pulsations is proposed. The limiting amplitude and minimal length of solitary waves on the pycnocline in the coastal zone of the Japan sea are estimated. |
| doi_str_mv | 10.1134/S0021894419030076 |
| format | Article |
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The limiting amplitude and minimal length of solitary waves on the pycnocline in the coastal zone of the Japan sea are estimated.</description><identifier>ISSN: 0021-8944</identifier><identifier>EISSN: 1573-8620</identifier><identifier>DOI: 10.1134/S0021894419030076</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Algorithms ; Amplitudes ; Applications of Mathematics ; Classical and Continuum Physics ; Classical Mechanics ; Coastal zone ; Constraining ; Fluid- and Aerodynamics ; Mathematical Modeling and Industrial Mathematics ; Mathematical models ; Mechanical Engineering ; Parameter estimation ; Physics ; Physics and Astronomy ; Resistors ; Solitary waves</subject><ispartof>Journal of applied mechanics and technical physics, 2019-05, Vol.60 (3), p.457-461</ispartof><rights>Pleiades Publishing, Ltd. 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-657e723347bdd84e676b8f82af0cdbcc67ad666074918ebf29b2b5ac7c0878f23</citedby><cites>FETCH-LOGICAL-c316t-657e723347bdd84e676b8f82af0cdbcc67ad666074918ebf29b2b5ac7c0878f23</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0021894419030076$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0021894419030076$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Novotryasov, V. V.</creatorcontrib><creatorcontrib>Permyakov, M. S.</creatorcontrib><title>Experimental and Theoretical Determination of the Limiting Amplitude and Minimal Length of Solitary Waves in a Weakly Dispersed Shallow Sea</title><title>Journal of applied mechanics and technical physics</title><addtitle>J Appl Mech Tech Phy</addtitle><description>This paper describes the analysis of field measurements of a wave bore on the pycnocline of a shallow sea, carried out using vertically placed thermal resistors. The space-time structure of the bore is subjected to hydrodynamic interpretation using the mathematical model of a weakly dispersed shallow sea, which accounts for the influence of cubic nonlinearity and low-frequency dispersion. The limiting amplitude and minimal length of soliton solutions of the model are determined. An algorithm for estimating the given parameters on the basis of measurement data of bore-induced isotherm pulsations is proposed. The limiting amplitude and minimal length of solitary waves on the pycnocline in the coastal zone of the Japan sea are estimated.</description><subject>Algorithms</subject><subject>Amplitudes</subject><subject>Applications of Mathematics</subject><subject>Classical and Continuum Physics</subject><subject>Classical Mechanics</subject><subject>Coastal zone</subject><subject>Constraining</subject><subject>Fluid- and Aerodynamics</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematical models</subject><subject>Mechanical Engineering</subject><subject>Parameter estimation</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Resistors</subject><subject>Solitary waves</subject><issn>0021-8944</issn><issn>1573-8620</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kM1OwzAQhC0EEqXwANwscQ7YTmI7x6otP1IRhxb1GDnJpnFJnGK7QJ-Bl8alSBwQp9Vq5pvVDkKXlFxTGic3c0IYlVmS0IzEhAh-hAY0FXEkOSPHaLCXo71-is6cWxNCMknFAH1OPzZgdQfGqxYrU-FFA70Fr8uwT8CD7bRRXvcG9zX2DeCZ7rTXZoVH3abVflvBN_eoje4CMwOz8s3ePO-DrOwOL9UbOKwNVngJ6qXd4Yl24ayDCs8b1bb9O56DOkcntWodXPzMIXq-nS7G99Hs6e5hPJpFZUy5j3gqQLA4TkRRVTIBLngha8lUTcqqKEsuVMU5JyLJqISiZlnBilSVoiRSyJrFQ3R1yN3Y_nULzufrfmtNOJkzxjOS0JQkwUUPrtL2zlmo803oKbyTU5LvO8__dB4YdmBc8JoV2N_k_6Evo3GEjw</recordid><startdate>20190501</startdate><enddate>20190501</enddate><creator>Novotryasov, V. 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| subjects | Algorithms Amplitudes Applications of Mathematics Classical and Continuum Physics Classical Mechanics Coastal zone Constraining Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mathematical models Mechanical Engineering Parameter estimation Physics Physics and Astronomy Resistors Solitary waves |
| title | Experimental and Theoretical Determination of the Limiting Amplitude and Minimal Length of Solitary Waves in a Weakly Dispersed Shallow Sea |
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