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Similarity reduction of a (2+1) Volterra system
| Content Provider | Scilit |
|---|---|
| Author | Sahadevan, R. Khousalya, S. |
| Copyright Year | 2000 |
| Description | Journal: Journal of Physics A: General Physics The continuous point symmetries of a (2+1) discrete Volterra system is derived and it forms a centreless infinite-dimensional Kac-Moody Virasoro algebra. Using the symmetries, a similarity reduction of the (2+1) Volterra system to a partial differential-difference equation with two independent variables is obtained. Also, the Lie point symmetries of the reduced partial differential-difference equation is derived and its similarity reduction to an ordinary differential-difference equation is obtained. The ordinary differential-difference equation reduces to the third Painlevé equation in the continuum limit. Further, a Lax pair for the reduced equation is derived indicating its complete integrability. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/33/19/102/pdf |
| Ending Page | L176 |
| Page Count | 6 |
| Starting Page | L171 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/33/19/102 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 19 |
| Volume Number | 33 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2000-05-05 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Mathematical Physics Similarity Reduction Volterra System Difference Equation Differential Difference Equation Reduces Ordinary Differential Partial Differential Point Symmetries |
| Content Type | Text |
| Resource Type | Article |
