Cylindrical solitons in shallow water of variable depth
Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is deriv...
Ausführliche Beschreibung
Autor*in: |
Carbonaro, P. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
1983 |
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Anmerkung: |
© Società Italiana di Fisica 1983 |
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Übergeordnetes Werk: |
Enthalten in: Il Nuovo Cimento C - Springer Netherlands, 1978, 6(1983), 2 vom: März, Seite 133-144 |
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Übergeordnetes Werk: |
volume:6 ; year:1983 ; number:2 ; month:03 ; pages:133-144 |
Links: |
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DOI / URN: |
10.1007/BF02507929 |
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Katalog-ID: |
OLC2055364758 |
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245 | 1 | 0 | |a Cylindrical solitons in shallow water of variable depth |
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520 | |a Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. | ||
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700 | 1 | |a Pantano, P. |4 aut | |
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10.1007/BF02507929 doi (DE-627)OLC2055364758 (DE-He213)BF02507929-p DE-627 ger DE-627 rakwb eng 530 VZ 16,13 ssgn Carbonaro, P. verfasserin aut Cylindrical solitons in shallow water of variable depth 1983 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1983 Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. Floris, R. aut Pantano, P. aut Enthalten in Il Nuovo Cimento C Springer Netherlands, 1978 6(1983), 2 vom: März, Seite 133-144 (DE-627)129367362 (DE-600)161886-6 (DE-576)014741970 1124-1896 nnns volume:6 year:1983 number:2 month:03 pages:133-144 https://doi.org/10.1007/BF02507929 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-GEO SSG-OLC-AST SSG-OPC-GGO SSG-OPC-GEO SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2279 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4155 GBV_ILN_4319 GBV_ILN_4323 AR 6 1983 2 03 133-144 |
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10.1007/BF02507929 doi (DE-627)OLC2055364758 (DE-He213)BF02507929-p DE-627 ger DE-627 rakwb eng 530 VZ 16,13 ssgn Carbonaro, P. verfasserin aut Cylindrical solitons in shallow water of variable depth 1983 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1983 Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. Floris, R. aut Pantano, P. aut Enthalten in Il Nuovo Cimento C Springer Netherlands, 1978 6(1983), 2 vom: März, Seite 133-144 (DE-627)129367362 (DE-600)161886-6 (DE-576)014741970 1124-1896 nnns volume:6 year:1983 number:2 month:03 pages:133-144 https://doi.org/10.1007/BF02507929 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-GEO SSG-OLC-AST SSG-OPC-GGO SSG-OPC-GEO SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2279 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4155 GBV_ILN_4319 GBV_ILN_4323 AR 6 1983 2 03 133-144 |
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10.1007/BF02507929 doi (DE-627)OLC2055364758 (DE-He213)BF02507929-p DE-627 ger DE-627 rakwb eng 530 VZ 16,13 ssgn Carbonaro, P. verfasserin aut Cylindrical solitons in shallow water of variable depth 1983 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1983 Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. Floris, R. aut Pantano, P. aut Enthalten in Il Nuovo Cimento C Springer Netherlands, 1978 6(1983), 2 vom: März, Seite 133-144 (DE-627)129367362 (DE-600)161886-6 (DE-576)014741970 1124-1896 nnns volume:6 year:1983 number:2 month:03 pages:133-144 https://doi.org/10.1007/BF02507929 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-GEO SSG-OLC-AST SSG-OPC-GGO SSG-OPC-GEO SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2279 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4155 GBV_ILN_4319 GBV_ILN_4323 AR 6 1983 2 03 133-144 |
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10.1007/BF02507929 doi (DE-627)OLC2055364758 (DE-He213)BF02507929-p DE-627 ger DE-627 rakwb eng 530 VZ 16,13 ssgn Carbonaro, P. verfasserin aut Cylindrical solitons in shallow water of variable depth 1983 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1983 Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. Floris, R. aut Pantano, P. aut Enthalten in Il Nuovo Cimento C Springer Netherlands, 1978 6(1983), 2 vom: März, Seite 133-144 (DE-627)129367362 (DE-600)161886-6 (DE-576)014741970 1124-1896 nnns volume:6 year:1983 number:2 month:03 pages:133-144 https://doi.org/10.1007/BF02507929 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-GEO SSG-OLC-AST SSG-OPC-GGO SSG-OPC-GEO SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2279 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4155 GBV_ILN_4319 GBV_ILN_4323 AR 6 1983 2 03 133-144 |
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10.1007/BF02507929 doi (DE-627)OLC2055364758 (DE-He213)BF02507929-p DE-627 ger DE-627 rakwb eng 530 VZ 16,13 ssgn Carbonaro, P. verfasserin aut Cylindrical solitons in shallow water of variable depth 1983 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1983 Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. Floris, R. aut Pantano, P. aut Enthalten in Il Nuovo Cimento C Springer Netherlands, 1978 6(1983), 2 vom: März, Seite 133-144 (DE-627)129367362 (DE-600)161886-6 (DE-576)014741970 1124-1896 nnns volume:6 year:1983 number:2 month:03 pages:133-144 https://doi.org/10.1007/BF02507929 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-GEO SSG-OLC-AST SSG-OPC-GGO SSG-OPC-GEO SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2279 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4155 GBV_ILN_4319 GBV_ILN_4323 AR 6 1983 2 03 133-144 |
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Cylindrical solitons in shallow water of variable depth |
abstract |
Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. © Società Italiana di Fisica 1983 |
abstractGer |
Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. © Società Italiana di Fisica 1983 |
abstract_unstemmed |
Summary The propagation and the interaction of cylindrical solitons in shallow vater of variable depth are studied. Starting from the cylindrically symmetric version of the equations describing long waves in a beach, a Korteweg-de Vries equation type $ ψ_{τ} $+$ 6ψψ_{ξ} $+$ ψ_{ξξξ} $=−Γ(τ)ψ is derived. Since no exact analytical solution has been found to date for this equation, some remarkable cases in which the equation takes up a tractable form are analysed. Finally the interaction between cylindrical imploding and expanding waves is considered and the phase shifts caused by the head-on collision are given. © Società Italiana di Fisica 1983 |
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title_short |
Cylindrical solitons in shallow water of variable depth |
url |
https://doi.org/10.1007/BF02507929 |
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Floris, R. Pantano, P. |
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Floris, R. Pantano, P. |
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10.1007/BF02507929 |
up_date |
2024-07-04T02:01:50.898Z |
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