Complete integrability of the Kortweg-de Vries equation under perturbation around its solution: Lie-Backlund symmetry approach

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

Full text not available from this repository.

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
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

Repository Staff Only: item control page