On the structure of equations integrable by the arbitrary-order linear spectral problem
- 1 June 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (6) , 1237-1259
- https://doi.org/10.1088/0305-4470/14/6/005
Abstract
The general form of partial differential equations integrable by the arbitrary-order linear spectral problem is found. The groups of Backlund transformations corresponding to these equations are constructed. It is shown that partial differential equations of the class under study are Hamiltonian ones. Some reductions of general equations are considered. In particular, the Hamiltonian structure of the generalisations of the sine-Gordon equation to the groups GL(N), SU(N), and SO(N) at arbitrary N is proved.Keywords
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