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.
|Original language||English (US)|
|Number of pages||3|
|Journal||Journal of Mathematical Physics|
|State||Published - Dec 1 1979|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics