Weakly non-associative algebras and the Kadomtsev-Petviashvili hierarchy

Dimakis, Aristophanes; Müller-Hoissen, Folkert

doi:10.1017/S0017089508004771

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Weakly non-associative algebras and the Kadomtsev-Petviashvili hierarchy

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Müller-Hoissen, Folkert
Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Dimakis, A., & Müller-Hoissen, F. (2009). Weakly non-associative algebras and the Kadomtsev-Petviashvili hierarchy. Glasgow Mathematical Journal, 51A, 49-57. doi:10.1017/S0017089508004771.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-1327-C

Abstract

On any ‘weakly non-associative’ algebra there is a universal family of compatible ordinary differential equations (provided that differentiability with respect to parameters can be defined), any solution of which yields a solution of the Kadomtsev–Petviashvili (KP) hierarchy with dependent variable in an associative sub-algebra, the middle nucleus.