The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations
A 1 + 1-dimensional coupled soliton equations are decomposed into two systems of ordinary differential equations. The Abel-Jacobi coordinates are introduced to straighten the flows, from which the algebrogeometric solutions of the coupled 1 + 1-dimensional equations are obtained in terms of the Riem...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/782436 |
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| _version_ | 1832566911086362624 |
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| author | Hongfei Pan Tiecheng Xia |
| author_facet | Hongfei Pan Tiecheng Xia |
| author_sort | Hongfei Pan |
| collection | DOAJ |
| description | A 1 + 1-dimensional coupled soliton equations are decomposed into two systems of ordinary differential equations. The Abel-Jacobi coordinates are introduced to straighten the flows, from which the algebrogeometric solutions of the coupled 1 + 1-dimensional equations are obtained in terms of the Riemann theta functions. |
| format | Article |
| id | doaj-art-a1723f093b6f43558956050e4269d0c5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a1723f093b6f43558956050e4269d0c52025-02-03T01:02:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/782436782436The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled EquationsHongfei Pan0Tiecheng Xia1Department of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaA 1 + 1-dimensional coupled soliton equations are decomposed into two systems of ordinary differential equations. The Abel-Jacobi coordinates are introduced to straighten the flows, from which the algebrogeometric solutions of the coupled 1 + 1-dimensional equations are obtained in terms of the Riemann theta functions.http://dx.doi.org/10.1155/2013/782436 |
| spellingShingle | Hongfei Pan Tiecheng Xia The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations Journal of Applied Mathematics |
| title | The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations |
| title_full | The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations |
| title_fullStr | The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations |
| title_full_unstemmed | The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations |
| title_short | The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations |
| title_sort | hamiltonian structure and algebrogeometric solution of a 1 1 dimensional coupled equations |
| url | http://dx.doi.org/10.1155/2013/782436 |
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