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The simplified methodology for obtaining the Lie algebra structures of nonlinear evolution equations

✍ Scribed by Yong-Qiang Bai; Ming Pei; Zhen Liu


Book ID
108216026
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
445 KB
Volume
70
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


BΓ€cklund transformations of solutions of
✍ E.M. de Jager em; S. Spannenburg; M.H. Sitters πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 1016 KB

Using the Maurcr Cartan structural equations of the Lie group SL(Z. R) it is shown that the auto-Eicklund transformations of solutions of the Sine Gordon, the Kortcwegpde Vries and the modified Kortcwcg de Vries equation can bc derived from the same Lie Hianchi transformation sending surfaces of con

The structure of higher symmetries of no
✍ B. Flach πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 264 KB

Within the framework of jet manifolds, we show that the symmetries of nonlinear partial evolution equations in arbitrary dimensions are linear in the leading orders. A necessary condition for the existence of an infinite-dimensional symmetry algebra for a given equation is derived. As an example, th