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In this paper, the squared eigenfunction symmetries for the BTL and CTLhierarchies are explicitly constructed with the suitable modification of theones for the TL hierarchy, by considering the BTL and CTL constraints. Also theconnections with the corresponding additional symmetries are investigated: thesquared eigenfunction symmetry generated by the wave function can be viewed asthe generating function for the additional symmetries.

Squared Eigenfunction Symmetries for the BTL and CTL Hierarchies