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- W1507650031 abstract "We show that commutator identities on associative algebras generate solutions of the linearized versions of integrable equations. In addition, we introduce a special dressing procedure in a class of integral operators that allows deriving both the nonlinear integrable equation itself and its Lax pair from such a commutator identity. The problem of constructing new integrable nonlinear evolution equations thus reduces to the problem of constructing commutator identities on associative algebras." @default.
- W1507650031 created "2016-06-24" @default.
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- W1507650031 date "2008-03-01" @default.
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- W1507650031 title "Commutator identities on associative algebras and the integrability of nonlinear evolution equations" @default.
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- W1507650031 doi "https://doi.org/10.1007/s11232-008-0035-6" @default.
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