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Von mises- and crocco-type hydrodynamical transformations: Order reduction of nonlinear equations, construction of Bäcklund transformations and of new integrable equations

✍ Scribed by I. A. Fedotov; A. D. Polyanin


Book ID
110210741
Publisher
SP MAIK Nauka/Interperiodica
Year
2011
Tongue
English
Weight
379 KB
Volume
18
Category
Article
ISSN
1061-9208

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✍ E.M. de Jager em; S. Spannenburg; M.H. Sitters 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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