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Elementary Bäcklund transformations, nonlinear superposition principle and solutions of the integrable equations

✍ Scribed by B.G. Konopelchenko

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
231 KB
Volume
87
Category
Article
ISSN
0375-9601

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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