Symmetric q-deformed KP hierarch
Abstract
Based on the analytic property of the symmetric q-exponent eq(x), a new symmetric q-deformed Kadomtsev-Petviashvili (q-KP) hierarchy associated with the symmetric q-derivative operator ∂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.
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