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Solutons of a nonisospectral and variable coefficient Korteweg-de Vries equation

✍ Scribed by W. L. Chan; Zheng Yu-Kun

Book ID
104758526
Publisher
Springer
Year
1987
Tongue
English
Weight
304 KB
Volume
14
Category
Article
ISSN
0377-9017

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✦ Synopsis

A new type of KdV equation with a nonisospectral Lax pair as well as variable coefficients is introduced. Its Lax pair is shown to be invariant under the Crum transformation. This leads to a Bficklund transformation for the KdV equation and, hence, a method for solutions via an associated nonisospectral variable coefficient MKdV equation. Three generations of solutions are given. The 1-soliton solution shares the novel phenomenology associated with the boomeron, trappon, and zoomeron of Calogero and Degasperis.

πŸ“œ SIMILAR VOLUMES

Asymptotic Behavior of Nonsoliton Soluti
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✍ W.L. Chan; K.S. Li πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 662 KB

We consider the initial value problem of the variable coefficient and nonisospectral Korteweg-de Vries equation with variable boundary condition and smooth initial data decaying rapidly to zero as \(|x| \rightarrow \infty\). Using the method of inverse scattering we study the asymptotic behavior of

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