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The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras

Published online by Cambridge University Press:  19 September 2008

George Wilson
George Wilson
Affiliation:
Mathematical Institute, 24–29 St Giles, Oxford OX1 3LB, England
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Abstract

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We associate to each complex simple Lie algebra g a hierarchy of evolution equations; in the simplest case g = sl(2) they are the modified KdV equations. These new equations are related to the two-dimensional Toda lattice equations associated with g in the same way that the modified KdV equations are related to the sinh-Gordon equation.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 3 , September 1981 , pp. 361 - 380
Copyright
Copyright © Cambridge University Press 1981

References

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