A Bäcklund transformation and the invers
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V.O. Vakhnenko; E.J. Parkes; A.J. Morrison
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Article
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2003
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Elsevier Science
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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.