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Lax pairs, Backlund transformations and special solutions for ordinary differential equations
| Content Provider | Scilit |
|---|---|
| Author | Gibbon, J. D. Newell, A. C. Tabor, M. Zeng, Y. B. |
| Copyright Year | 1988 |
| Description | Journal: Nonlinearity The authors investigate a modification of the Weiss-Tabor-Carnevale procedure that enables one to obtain Lax pairs and Backlund transformations for systems of ordinary differential equations. This method can yield both auto-Backlund transformations and, where necessary, Backlund transformations between different equations. In the latter case they investigate the circumstances under which the general Backlund transformations reduce to auto-Backlunds. In addition, special solution families for the second and fourth Painleve transcendents are obtained. |
| Related Links | http://iopscience.iop.org/article/10.1088/0951-7715/1/3/005/pdf |
| Ending Page | 490 |
| Page Count | 10 |
| Starting Page | 481 |
| ISSN | 09517715 |
| e-ISSN | 13616544 |
| DOI | 10.1088/0951-7715/1/3/005 |
| Journal | Nonlinearity |
| Issue Number | 3 |
| Volume Number | 1 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1988-08-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Nonlinearity Applied Mathematics Ordinary Differential Equation Lax Pair Difference Equation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics |