Senthil Velan, M. ; Lakshmanan, M. (1997) Lie symmetries and infinite-dimensional Lie algebras of certain (1 + 1)-dimensional nonlinear evolution equations Journal of Physics A: Mathematical and General, 30 (9). pp. 3261-3272. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/30/9/031
Related URL: http://dx.doi.org/10.1088/0305-4470/30/9/031
Abstract
In this paper we discuss the Lie symmetries, symmetry algebra and similarity reductions of two different equations introduced in the recent literature, namely, (i) a new coupled integrable dispersionless equation and (ii) a new coupled hyperbolic variational equation. We point out that both the systems admit, in contradistinction to conventional Lie algebras in (1 + 1)-dimensional systems, infinite-dimensional Lie algebras. Furthermore, we find physically interesting solutions for special choices of the symmetry parameters.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 85006 |
| Deposited On: | 29 Feb 2012 06:46 |
| Last Modified: | 29 Feb 2012 06:46 |
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