Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces
The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical applications and soliton solutions can be determined from the components of the relevant metric for the space. The manifolds of interest are sur...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/210304 |
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| _version_ | 1850228445115580416 |
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| author | Paul Bracken |
| author_facet | Paul Bracken |
| author_sort | Paul Bracken |
| collection | DOAJ |
| description | The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical applications and soliton solutions can be determined from the components of the relevant metric for the space. The manifolds of interest are surfaces and higher-dimensional Riemannian spaces. Methods for specifying integrable evolutions of surfaces by means of these equations will also be presented. |
| format | Article |
| id | doaj-art-2b834de358114bd5bdd047053e72ef8e |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2b834de358114bd5bdd047053e72ef8e2025-08-20T02:04:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/210304210304Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann SpacesPaul Bracken0Department of Mathematics, University of Texas, Edinburg, TX 78541-2999, USAThe intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical applications and soliton solutions can be determined from the components of the relevant metric for the space. The manifolds of interest are surfaces and higher-dimensional Riemannian spaces. Methods for specifying integrable evolutions of surfaces by means of these equations will also be presented.http://dx.doi.org/10.1155/2009/210304 |
| spellingShingle | Paul Bracken Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces |
| title_full | Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces |
| title_fullStr | Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces |
| title_full_unstemmed | Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces |
| title_short | Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces |
| title_sort | integrable equations and their evolutions based on intrinsic geometry of riemann spaces |
| url | http://dx.doi.org/10.1155/2009/210304 |
| work_keys_str_mv | AT paulbracken integrableequationsandtheirevolutionsbasedonintrinsicgeometryofriemannspaces |