Higher-Order Equations of the KdV Type are Integrable
We show that a nonlinear equation that represents third-order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with an integrable equation which has recently appe...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/329586 |
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| _version_ | 1832559269013094400 |
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| author | V. Marinakis |
| author_facet | V. Marinakis |
| author_sort | V. Marinakis |
| collection | DOAJ |
| description | We show that a nonlinear equation that represents third-order
approximation of long wavelength, small amplitude waves of inviscid and incompressible
fluids is integrable for a particular choice of its parameters, since in this
case it is equivalent with an integrable equation which has recently appeared in
the literature. We also discuss the integrability of both second- and third-order
approximations of additional cases. |
| format | Article |
| id | doaj-art-3955889b5b5e42989c7d694e33aa54fc |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3955889b5b5e42989c7d694e33aa54fc2025-02-03T01:30:29ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/329586329586Higher-Order Equations of the KdV Type are IntegrableV. Marinakis0Department of Civil Engineering, Technological & Educational Institute of Patras, 1 M. Alexandrou Street, Koukouli, 263 34 Patras, GreeceWe show that a nonlinear equation that represents third-order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with an integrable equation which has recently appeared in the literature. We also discuss the integrability of both second- and third-order approximations of additional cases.http://dx.doi.org/10.1155/2010/329586 |
| spellingShingle | V. Marinakis Higher-Order Equations of the KdV Type are Integrable Advances in Mathematical Physics |
| title | Higher-Order Equations of the KdV Type are Integrable |
| title_full | Higher-Order Equations of the KdV Type are Integrable |
| title_fullStr | Higher-Order Equations of the KdV Type are Integrable |
| title_full_unstemmed | Higher-Order Equations of the KdV Type are Integrable |
| title_short | Higher-Order Equations of the KdV Type are Integrable |
| title_sort | higher order equations of the kdv type are integrable |
| url | http://dx.doi.org/10.1155/2010/329586 |
| work_keys_str_mv | AT vmarinakis higherorderequationsofthekdvtypeareintegrable |