Symmetric q-deformed KP hierarchy

Abstract

Based on the analytic property of the symmetric q-exponent e _q(x), a new symmetric q-deformed Kadomtsev-Petviashvili (q-KP for short) hierarchy associated with the symmetric q-derivative operator ∂ _q is constructed. Furthermore, the symmetric q-CKP hierarchy and symmetric q-BKP hierarchy are defined. The authors also investigate the additional symmetries of the symmetric q-KP hierarchy.

Keywords

q-Derivative / Symmetric q-KP hierarchy / Additional symmetries

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