Tamizhmani, K. M. ; Lakshmanan, M. (1982) Infinitely many lie-backlund symmetries for a quasi-linear evolution equation Physics Letters A, 90 (4). pp. 159-161. ISSN 0375-9601
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...
Related URL: http://dx.doi.org/10.1016/0375-9601(82)90675-2
Abstract
We consider the quasi-linear evolution equation ut+Ux sin u +μu3x+βuxxx = 0, which is known to possess non-abelian prolongation structures only for the special case μ=β/8. It is shown here that exactly for the same parametric combination the system admits infinitely many Lie-Backlund (LB) symmetries and that it is connected to the modified Korteweg-de Vries equation (MKdV).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 19707 |
| Deposited On: | 22 Nov 2010 12:03 |
| Last Modified: | 08 Jun 2011 07:19 |
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