On a direct approach to quasideterminant solutions of a noncommutative modified KP equation

Gilson, C.R., Nimmo, J.J.C. and Sooman, C.M. (2008) On a direct approach to quasideterminant solutions of a noncommutative modified KP equation. Journal of Physics A: Mathematical and Theoretical, 41(8), 085202. (doi: 10.1088/1751-8113/41/8/085202)

Abstract

A noncommutative version of the modified KP equation and a family of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means of Darboux transformations and the solutions are verified directly. We also verify directly an explicit connection between quasideterminant solutions of the noncommutative mKP equation and the noncommutative KP equation arising from the Miura transformation.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Gilson, Dr Claire and Nimmo, Dr Jonathan
• Authors: Gilson, C.R., Nimmo, J.J.C., and Sooman, C.M.
• Subjects: Q Science > QC Physics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Physics A: Mathematical and Theoretical
• ISSN: 1751-8113
• ISSN (Online): 1751-8121