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EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP

Published online by Cambridge University Press:  01 February 2009

CORNELIA SCHIEBOLD
CORNELIA SCHIEBOLD*
Affiliation:
Department of Mathematics, Mid Sweden University, S-851 70 Sundsvall, Sweden e-mail: Cornelia.Schiebold@miun.se
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Abstract

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We study a non-commutative version of the Kadomtsev-Petviashvili equations and construct a family of solutions generalizing naturally the soliton to the non-commutative setting. From this we derive explicit solution formulas as well for the scalar as for the matrix-Kadomtsev-Petviashvili equation which still depend on operator parameters.

Keywords

39B4247J2537K1035C05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue A , February 2009 , pp. 147 - 155
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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