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Glasgow Mathematical Journal (1)

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WEAKLY NON-ASSOCIATIVE ALGEBRAS AND THE KADOMTSEV–PETVIASHVILI HIERARCHY
ARISTOPHANES DIMAKIS, FOLKERT MÜLLER-HOISSEN
Journal:

Glasgow Mathematical Journal / Volume 51 / Issue A / February 2009

Published online by Cambridge University Press:

01 February 2009, pp. 49-57

Print publication:

February 2009
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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.