A commutator representation of Painlevé equations
- 1 May 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (5) , 1016-1018
- https://doi.org/10.1063/1.524549
Abstract
This paper further develops the connection between partial differential equations solvable by inverse scattering methods and ordinary differential equations of Painlevé type. The main result given here is that Painlevé equations have a concise algebraic formulation [L,B]=L when written in the Lax representation.Keywords
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