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Jordan algebras and generalized Korteweg–de Vries equations

S. I. Svinolupov


Abstract: Integrability criteria for many-field Korteweg–de Vries equations are obtained. A one-to-one correspondence between such equations and Jordan algebras is established. It is shown that the so-called irreducible systems correspond to simple Jordan algebras.

Received: 21.11.1990

 English version: Theoretical and Mathematical Physics, 1991, 87:3, 611–620

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