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Derivation of the Bäcklund transformation in the formalism of the inverse scattering problem

✍ Scribed by V. S. Gerdzhikov; P. P. Kulish

Book ID
112459884
Publisher
SP MAIK Nauka/Interperiodica
Year
1979
Tongue
English
Weight
425 KB
Volume
39
Category
Article
ISSN
0040-5779

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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.