New Applications of a Kind of Infinitesimal-Operator Lie Algebra
Keyword(s):
Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. A corresponding discrete equation approximating it is given as well. Finally, we make use of the Lie algebras to generate some new integrable systems including (1+1) and (2+1) dimensions.
2006 ◽
Vol 11
(1)
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pp. 13-32
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2007 ◽
Vol 7
(1)
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pp. 25-47
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2014 ◽
Vol 58
(1)
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pp. 183-197
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Keyword(s):
1962 ◽
Vol 10
(3)
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pp. 454-468
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