对称$q$ -变形KP层次结构
Symmetric $q$-deformed KP hierarch
摘要：
基于对称$q$ -指数$e_q(x)$的解析性质，构造了一个新的与对称$q$ -导数算子$\partial_q$相关联的对称$q$ -变形Kadomtsev-Petviashvili（$q$-KP）族.进一步定义了对称的$q$ -CKP层次和对称的$q$ -BKP层次.在这里，我们还研究了对称$q$ -KP层次结构的额外对称性。
英文摘要：
Based on the analytic property of the symmetric $q$-exponent $e_q(x)$, a new symmetric $q$-deformed Kadomtsev-Petviashvili ($q$-KP) hierarchy associated with the symmetric $q$-derivative operator $\partial_q$ is constructed. Furthermore, the symmetric $q$-CKP hierarchy and symmetric $q$-BKP hierarchy are defined. Here we also investigate the additional symmetries of the symmetric $q$-KP hierarchy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
