Lie algebras and equations of Korteweg-de Vries type
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Abstract: (Springer)
The survey contains a description of the connection between the infinite-dimensional Lie algebras of Kats-Moody and systems of differential equations generalizing the Korteweg-de Vries and sine-Gordon equations and integrable by the method of the inverse scattering problem. A survey of the theory of Kats-Moody algebras is also given.- inspirereview:I-c-9
- review
- algebra: Lie
- Korteweg-de Vries equation
- algebra: Kac-Moody
- sine-Gordon equation
- inverse scattering method
- differential equations: Lax
- Miura transformation
- lattice: Toda
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