Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2007-11-23
J. Phys. A: Math. Theor. 41 (2008) 085202
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Scientific paper
10.1088/1751-8113/40/14/007
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.
Gilson Claire R.
Nimmo Jonathan J. C.
Sooman C. M.
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