The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
- 19 September 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 1 (3) , 361-380
- https://doi.org/10.1017/s0143385700001292
Abstract
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.Keywords
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