Tamizhmani, K. M. ; Lakshmanan, M. (1983) Complete integrability of the Kortweg-de Vries equation under perturbation around its solution: Lie-Backlund symmetry approach Journal of Physics A: Mathematical & General, 16 (16). pp. 3773-3782. ISSN 1751-8121
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Official URL: http://iopscience.iop.org/0305-4470/16/16/015
Related URL: http://dx.doi.org/10.1088/0305-4470/16/16/015
Abstract
It is shown that when the Korteweg-de Vries equation is perturbed about a particular solution the resulting evolution equations to all order of perturbations admit infinitely many Lie-Backlund symmetries. The corresponding commuting constants of motion are derived and thereby complete integrability can be established.
Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Physics Publishing. |
ID Code: | 19451 |
Deposited On: | 22 Nov 2010 12:35 |
Last Modified: | 08 Jun 2011 07:19 |
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