32 citations · 153 across the 15 of their papers we have counts for
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Burgers and KP hierarchies: A functional representation approach
Aristophanes Dimakis, Folkert Muller-Hoissen
From a 'discrete' functional zero curvature equation, functional representations of (matrix) Burgers and potential KP (pKP) hierarchies (and others), as well as corresponding Backl…
From nonassociativity to solutions of the KP hierarchy
Aristophanes Dimakis, Folkert Muller-Hoissen
A recently observed relation between 'weakly nonassociative' algebras A (for which the associator (A,A^2,A) vanishes) and the KP hierarchy (with dependent variable in the middle nu…
Functional representations of integrable hierarchies
Aristophanes Dimakis, Folkert Muller-Hoissen
We consider a general framework for integrable hierarchies in Lax form and derive certain universal equations from which `functional representations' of particular hierarchies (lik…
From AKNS to derivative NLS hierarchies via deformations of associative products
Aristophanes Dimakis, Folkert Muller-Hoissen
Using deformations of associative products, derivative nonlinear Schrodinger (DNLS) hierarchies are recovered as AKNS-type hierarchies. Since the latter can also be formulated as G…
Nonassociativity and Integrable Hierarchies
Aristophanes Dimakis, Folkert Muller-Hoissen
Let A be a nonassociative algebra such that the associator (A,A^2,A) vanishes. If A is freely generated by an element f, there are commuting derivations delta_n, n=1,2,..., such th…