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Korteweg-de Vries hierarchy as an asymptotic limit of the Boussinesq system

✍ Scribed by S. A. Kordyukova


Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
396 KB
Volume
154
Category
Article
ISSN
0040-5779

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An Extension of the Korteweg–de Vries Hi
✍ Yuly Billig 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 165 KB

In this article we show how to construct hierarchies of partial differential equations from the vertex operator representations of toroidal Lie algebras. In the smallest exampleᎏrank 2 toroidal cover of sl ᎏwe obtain an extension of the 2 KdV hierarchy. We use the action of the corresponding infinit