Two-Soliton Interaction Within the Framework of the Modified Korteweg–de Vries Equation
We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of differ...
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| Autor*in: |
Pelinovsky, E. N. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Radiophysics and quantum electronics - Springer US, 1969, 57(2015), 10 vom: März, Seite 737-744 |
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| Übergeordnetes Werk: |
volume:57 ; year:2015 ; number:10 ; month:03 ; pages:737-744 |
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| DOI / URN: |
10.1007/s11141-015-9560-y |
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| 520 | |a We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. | ||
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10.1007/s11141-015-9560-y doi (DE-627)OLC2063586810 (DE-He213)s11141-015-9560-y-p DE-627 ger DE-627 rakwb eng 530 620 VZ Pelinovsky, E. N. verfasserin aut Two-Soliton Interaction Within the Framework of the Modified Korteweg–de Vries Equation 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. Soliton Amplitude Ratio Rogue Wave Vries Equation Fourth Moment Shurgalina, E. G. aut Enthalten in Radiophysics and quantum electronics Springer US, 1969 57(2015), 10 vom: März, Seite 737-744 (DE-627)130499560 (DE-600)760167-0 (DE-576)016080793 0033-8443 nnns volume:57 year:2015 number:10 month:03 pages:737-744 https://doi.org/10.1007/s11141-015-9560-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_70 AR 57 2015 10 03 737-744 |
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10.1007/s11141-015-9560-y doi (DE-627)OLC2063586810 (DE-He213)s11141-015-9560-y-p DE-627 ger DE-627 rakwb eng 530 620 VZ Pelinovsky, E. N. verfasserin aut Two-Soliton Interaction Within the Framework of the Modified Korteweg–de Vries Equation 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. Soliton Amplitude Ratio Rogue Wave Vries Equation Fourth Moment Shurgalina, E. G. aut Enthalten in Radiophysics and quantum electronics Springer US, 1969 57(2015), 10 vom: März, Seite 737-744 (DE-627)130499560 (DE-600)760167-0 (DE-576)016080793 0033-8443 nnns volume:57 year:2015 number:10 month:03 pages:737-744 https://doi.org/10.1007/s11141-015-9560-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_70 AR 57 2015 10 03 737-744 |
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10.1007/s11141-015-9560-y doi (DE-627)OLC2063586810 (DE-He213)s11141-015-9560-y-p DE-627 ger DE-627 rakwb eng 530 620 VZ Pelinovsky, E. N. verfasserin aut Two-Soliton Interaction Within the Framework of the Modified Korteweg–de Vries Equation 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. Soliton Amplitude Ratio Rogue Wave Vries Equation Fourth Moment Shurgalina, E. G. aut Enthalten in Radiophysics and quantum electronics Springer US, 1969 57(2015), 10 vom: März, Seite 737-744 (DE-627)130499560 (DE-600)760167-0 (DE-576)016080793 0033-8443 nnns volume:57 year:2015 number:10 month:03 pages:737-744 https://doi.org/10.1007/s11141-015-9560-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_70 AR 57 2015 10 03 737-744 |
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10.1007/s11141-015-9560-y doi (DE-627)OLC2063586810 (DE-He213)s11141-015-9560-y-p DE-627 ger DE-627 rakwb eng 530 620 VZ Pelinovsky, E. N. verfasserin aut Two-Soliton Interaction Within the Framework of the Modified Korteweg–de Vries Equation 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. Soliton Amplitude Ratio Rogue Wave Vries Equation Fourth Moment Shurgalina, E. G. aut Enthalten in Radiophysics and quantum electronics Springer US, 1969 57(2015), 10 vom: März, Seite 737-744 (DE-627)130499560 (DE-600)760167-0 (DE-576)016080793 0033-8443 nnns volume:57 year:2015 number:10 month:03 pages:737-744 https://doi.org/10.1007/s11141-015-9560-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_70 AR 57 2015 10 03 737-744 |
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10.1007/s11141-015-9560-y doi (DE-627)OLC2063586810 (DE-He213)s11141-015-9560-y-p DE-627 ger DE-627 rakwb eng 530 620 VZ Pelinovsky, E. N. verfasserin aut Two-Soliton Interaction Within the Framework of the Modified Korteweg–de Vries Equation 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. Soliton Amplitude Ratio Rogue Wave Vries Equation Fourth Moment Shurgalina, E. G. aut Enthalten in Radiophysics and quantum electronics Springer US, 1969 57(2015), 10 vom: März, Seite 737-744 (DE-627)130499560 (DE-600)760167-0 (DE-576)016080793 0033-8443 nnns volume:57 year:2015 number:10 month:03 pages:737-744 https://doi.org/10.1007/s11141-015-9560-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_70 AR 57 2015 10 03 737-744 |
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We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. © Springer Science+Business Media New York 2015 |
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We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. © Springer Science+Business Media New York 2015 |
| abstract_unstemmed |
We study interaction of two solitons of different polarities within the framework of the modified Korteweg–de Vries equation. Three types of soliton interaction are considered, namely, exchange and overtaking interactions (for positive solitons) and an absorb-emit interaction (for solitons of different polarities). The soliton-interaction features are studied in detail. Since the soliton interaction is an elementary soliton-turbulence act, the wave-field moments from the first to the fourth inclusively, which are usually considered in the theory of turbulence, are studied. It is shown that during interaction of solitons of the same polarity, the third and fourth wave-field moments, which determine the skewness and kurtosis coefficients in the theory of turbulence, decrease, whereas for solitons of different polarities, these moments increase. The obtained results are compared with the estimates of two-soliton interaction within the framework of the Korteweg–de Vries equation. © Springer Science+Business Media New York 2015 |
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10.1007/s11141-015-9560-y |
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