The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations
In recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water waves over a flat bed. The equations capture stronger nonlinear effects than...
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| Veröffentlicht in: | Archive for rational mechanics and analysis 2009-04, Vol.192 (1), p.165-186 |
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| creator | Constantin, Adrian Lannes, David |
| description | In recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water waves over a flat bed. The equations capture stronger nonlinear effects than the classical nonlinear dispersive Benjamin–Bona–Mahoney and Korteweg–de Vries equations. In particular, they accommodate wave breaking phenomena. |
| doi_str_mv | 10.1007/s00205-008-0128-2 |
| format | Article |
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| language | eng |
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| source | SpringerLink Journals |
| subjects | Applied sciences Buildings. Public works Classical Mechanics Complex Systems Exact sciences and technology Fluid dynamics Fluid- and Aerodynamics Fundamental areas of phenomenology (including applications) General theory Hydraulic constructions Mathematical and Computational Physics Partial differential equations Physics Physics and Astronomy Theoretical |
| title | The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations |
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