The Miura Links of the Symmetries in the q-Deformed Case

In this paper, we first construct the squared eigenfunction symmetries for the q -deformed Kadomtsev–Petviashvili (KP) and q -deformed modified KP hierarchies, including the unconstrained and constrained cases. Then the Miura links of the squared eigenfunction symmetries are investigated. At last, w...

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Veröffentlicht in:Journal of nonlinear mathematical physics 2021-03, Vol.28 (1), p.53-67
Hauptverfasser: Jian, Siqi, Cheng, Jipeng
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we first construct the squared eigenfunction symmetries for the q -deformed Kadomtsev–Petviashvili (KP) and q -deformed modified KP hierarchies, including the unconstrained and constrained cases. Then the Miura links of the squared eigenfunction symmetries are investigated. At last, we also discuss the Miura links of the additional symmetries, since the additional symmetries are closely related with the squared eigenfunction symmetries.
ISSN:1402-9251
1776-0852
1776-0852
DOI:10.2991/jnmp.k.200922.005