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nlin.SI2010★ 43 cited
Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions
Aristophanes Dimakis, Folkert Mueller-Hoissen
We express AKNS hierarchies, admitting reductions to matrix NLS and matrix mKdV hierarchies, in terms of a bidifferential graded algebra. Application of a universal result in this…
nlin.SI2007★ 24 cited
With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices
Aristophanes Dimakis, Folkert Muller-Hoissen
In case of the KP hierarchy where the dependent variable takes values in an (arbitrary) associative algebra A, it is known that there are solutions which can be expressed in terms…