Squared Eigenfunction Symmetries for the BTL and CTL Hierarchies
classification
🌊 nlin.SI
math-phmath.MP
keywords
symmetrieseigenfunctionsquaredadditionalfunctionhierarchiesconnectionsconsidering
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In this paper, the squared eigenfunction symmetries for the BTL and CTL hierarchies are explicitly constructed with the suitable modification of the ones for the TL hierarchy, by considering the BTL and CTL constraints. Also the connections with the corresponding additional symmetries are investigated: the squared eigenfunction symmetry generated by the wave function can be viewed as the generating function for the additional symmetries.
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