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General Derivation of Bäcklund Transformations from Inverse Scattering Problems

✍ Scribed by Chen, Hsing-Hen

Book ID
121289702
Publisher
The American Physical Society
Year
1974
Tongue
English
Weight
280 KB
Volume
33
Category
Article
ISSN
0031-9007

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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.