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arxiv: hep-th/9503164 · v1 · submitted 1995-03-24 · ✦ hep-th

On the Classical W₄⁽²⁾ Algebra

classification ✦ hep-th
keywords algebraclassicalintegrablemapsmiuraassociatedconsequentlyconsider
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We consider the classical \w42 algebra from the integrable system viewpoint. The integrable evolution equations associated with the \w42 algebra are constructed and the Miura maps , consequently modifications, are presented. Modifying the Miura maps, we give a free field realization the classical \w42 algebra. We also construct the Toda type integrable systems for it.

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