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The Backlund Transformations and the Inverse Scattering Method of the Ernst Equation

✍ Scribed by Omote, M.; Wadati, M.

Book ID
118132390
Publisher
Institute of Pure and Applied Physics
Year
1981
Tongue
English
Weight
319 KB
Volume
65
Category
Article
ISSN
0033-068X

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✍ V.O. Vakhnenko; E.J. Parkes; A.J. Morrison 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 158 KB

A B€ a acklund transformation both in bilinear and in ordinary form for the transformed generalised Vakhnenko equation (GVE) is derived. It is shown that the equation has an infinite sequence of conservation laws. An inverse scattering problem is formulated; it has a third-order eigenvalue problem.