On a direct approach to quasideterminant solutions of a noncommutative modified KP equation
نویسندگان
چکیده
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. Furthermore, we present a noncommutative Miura transformation mapping solutions of the noncommutative mKP equation to solutions of the noncommutative KP equation.
منابع مشابه
On a direct approach to quasideterminant solutions of a noncommutative KP equation
A noncommutative version of the KP equation and two families of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means of Darboux and binary Darboux transformations. Additionally, it is shown that these solutions may also be verified directly. This approach is reminiscent of the wronskian technique used for the Hirota bilinear form of the...
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