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Showing 2007 · nlin.SIShow all
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nlin.SI2007★ 6 cited
Dispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2+1 dimensions
Aristophanes Dimakis, Folkert Muller-Hoissen
The usual dispersionless limit of the KP hierarchy does not work in the case where the dependent variable has values in a noncommutative (e.g. matrix) algebra. Passing over to the…
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…