Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation
C. R. Gilson, J. J. C. Nimmo, C. M. Sooman
TL;DR
This paper explores matrix solutions expressed as quasideterminants for noncommutative KP and mKP equations, analyzing their interaction properties, especially focusing on two-soliton solutions.
Contribution
It introduces matrix solutions in quasideterminant form for noncommutative KP and mKP equations and studies their soliton interaction behaviors.
Findings
Matrix solutions are expressed as quasideterminants.
Interaction properties of two-soliton solutions are analyzed.
The solutions provide insights into noncommutative integrable systems.
Abstract
Matrix solutions of a noncommutative KP and a noncommutative mKP equation which can be expressed as quasideterminants are discussed. In particular, we investigate interaction properties of two-soliton solutions.
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