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math-ph2005
Algebraic identities associated with KP and AKNS hierarchies
Aristophanes Dimakis, Folkert Muller-Hoissen
Explicit KP and AKNS hierarchy equations can be constructed from a certain set of algebraic identities involving a quasi-shuffle product.
nlin.SI2005
An algebraic scheme associated with the noncommutative KP hierarchy and some of its extensions
Aristophanes Dimakis, Folkert Muller-Hoissen
A well-known ansatz (`trace method') for soliton solutions turns the equations of the (noncommutative) KP hierarchy, and those of certain extensions, into families of algebraic sum…