Kaliappan, P. ; Lakshmanan, M. (1982) Connection between the infinite sequence of Lie-Backlund symmetries of the Korteweg-de Vries and sine-Gordon equations Journal of Mathematical Physics, 23 (3). pp. 456-459. ISSN 0022-2488
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Official URL: http://link.aip.org/link/?jmp/23/456
Related URL: http://dx.doi.org/10.1063/1.525369
Abstract
From the observation that the infinite sequence of Lie-Backlund symmetries of the potential modified Kortweg-deVries (PMK-dV) and the sine-Gordon (s-G) equations are identical, it is shown that there exists a simple connection between the Lie-Backlund symmetries (written in the form of evolution equations) of the Korteweg-deVries (K-dV) and s-G equations. Further, this connection is similar to the one obtained by Chodos for the conserved quantities of K-dV and s-G equations. We also point out that the result of Chodos can be realized from the equality of conserved densities of PMK-dV and s-G systems.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| ID Code: | 19481 |
| Deposited On: | 22 Nov 2010 12:32 |
| Last Modified: | 08 Jun 2011 07:22 |
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