Generalised KdV and MKdV equations associated with symmetric spaces
- 21 April 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (6) , 1377-1386
- https://doi.org/10.1088/0305-4470/20/6/021
Abstract
The authors extend previous results on the linear spectral problem introduced by Fordy and Kulish (1983). The odd-order isospectral flows admit both a KdV and MKdV type reduction. The non-linear terms are related to the curvature tensor of the corresponding Hermitian symmetric space. Their KdV equations are themselves reductions of known matrix KdV equations. They discuss the conserved densities and Hamiltonian structure associated with these equations.Keywords
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