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A remark on the connection between affine Lie algebras and soliton equations

✍ Scribed by Etsuro Date


Publisher
Springer
Year
1988
Tongue
English
Weight
271 KB
Volume
16
Category
Article
ISSN
0377-9017

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Soliton-like structures and the connecti
✍ J. Bernal; Maximo A. AgΓΌero; Erick Flores-Romero πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 948 KB

We study the (2 ΓΎ 1)-dimensional model proposed by Kadomtsev and Petviashvili (KP) to describe slowly varying nonlinear waves in a dispersive medium. Applying an appropriate Lie transformation and following the method introduced by Tajiri et al., the KP equation is reduced to a one-dimensional equat