Aristophanes Dimakis and Folkert Müller-Hoissen 2007 J. Phys. A: Math. Theor. 40 F321 doi:10.1088/1751-8113/40/17/F02
With a Cole–Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices
FREE ARTICLEAristophanes Dimakis1 and Folkert Müller-Hoissen2
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In the case of the KP hierarchy where the dependent variable takes values in an (arbitrary) associative algebra 
, it is known that there are solutions which can be expressed in terms of quasideterminants of a Wronski matrix which solves the linear heat hierarchy. We obtain these solutions without the help of quasideterminants in a simple way via solutions of matrix KP hierarchies (over 
) and by use of a Cole–Hopf transformation. For this class of exact solutions we work out a correspondence with 'weakly nonassociative' algebras.
- PACS
- MSC
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16G30 Representations of orders, lattices, algebras over commutative rings (See also 16H05)
- Subjects
- Dates
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Issue 17 (27 April 2007)
Received 26 January 2007
Published 11 April 2007
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With a Cole–Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices
Aristophanes Dimakis and Folkert Müller-Hoissen 2007 J. Phys. A: Math. Theor. 40 F321
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