Geodesic
WEAKLY NON-ASSOCIATIVE ALGEBRAS AND THE KADOMTSEV–PETVIASHVILI HIERARCHY
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 49-57

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DOI

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.
DOI : 10.1017/S0017089508004771
Mots-clés : 37K10 17Axx 
DIMAKIS, ARISTOPHANES; MÜLLER-HOISSEN, FOLKERT. WEAKLY NON-ASSOCIATIVE ALGEBRAS AND THE KADOMTSEV–PETVIASHVILI HIERARCHY. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 49-57. doi: 10.1017/S0017089508004771
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     title = {WEAKLY {NON-ASSOCIATIVE} {ALGEBRAS} {AND} {THE} {KADOMTSEV{\textendash}PETVIASHVILI} {HIERARCHY}},
     journal = {Glasgow mathematical journal},
     pages = {49--57},
     year = {2009},
     volume = {51},
     number = {A},
     doi = {10.1017/S0017089508004771},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004771/}
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