On the Classical W4(2) Algebra
L. Chao, Q. P. Liu
Abstract
We consider the classical 42 algebra from the integrable system viewpoint. The integrable evolution equations associated with the 42 algebra are constructed and the Miura maps , consequently modifications, are presented. Modifying the Miura maps, we give a free field realization the classical 42 algebra. We also construct the Toda type integrable systems for it.
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