Generalizations of the Lax pair
One can interpret , , , as generators of the twisted loop superalgebra .
where replaces etc.; operators are generators of the twisted loop superalgebra. Withe these new notations, the spectral parameter is not present in . Instead of entering explicitly in , it now parametrizes a representation of the generators .
The basic relations (23) imply:
and similar equations for the commutators of .
It turns out, that there is the following generalization of the Lax pair: