Quasideterminant solutions of the extended noncommutative Kadomtsev–Petviashvili hierarchy


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Resumo

We construct a nonauto Darboux transformation for the extended noncommutative Kadomtsev–Petviashvili (ncKP) hierarchy and consequently derive its quasi-Wronskian solution. We also obtain the quasi-Wronskian solution of the ncKP equation with self-consistent sources (ncKPESCS) as a by-product. Finally, we use the direct verification method to prove the quasi-Wronskian solution of the ncKPESCS.

Sobre autores

Hongxia Wu

Department of Mathematics; School of Mathematical and Statistical Sciences

Autor responsável pela correspondência
Email: wuhongxia796@163.com
República Popular da China, Xiamen; Edinburg, Texas

Jingxin Liu

Department of Mathematics

Email: wuhongxia796@163.com
República Popular da China, Xiamen

Chunxia Li

School of Mathematical Sciences

Email: wuhongxia796@163.com
República Popular da China, Beijing

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