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Geometric deformations of the evolution equations and bäcklund transformations

✍ Scribed by Bohumil Cenkl

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
162 KB
Volume
18
Category
Article
ISSN
0167-2789

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Bäcklund transformations of solutions of
Bäcklund transformations of solutions of nonlinear evolution equations and the Lie Bianchi transformation
✍ 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