Three different decompositions of the algebra of pseudo-differential operators and corresponding r-matrices are considered. Three associated classes of nonlinear integrable equations in 1+1 and 2+1 dimensions are discussed within the framework of generalized Lax equations and Sato's approach.
An r-matrix approach to nonstandard classes of integrable equations
KONOPELCHENKO, Boris;
1993-01-01
Abstract
Three different decompositions of the algebra of pseudo-differential operators and corresponding r-matrices are considered. Three associated classes of nonlinear integrable equations in 1+1 and 2+1 dimensions are discussed within the framework of generalized Lax equations and Sato's approach.File in questo prodotto:
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