Commuting Charges of the Quantum Korteweg-devries and Boussinesq Theories from the Reduction of W ∞ and W 1+∞ Algebras
نویسنده
چکیده
Integrability of the quantum Boussinesq equation for c = −2 is demonstrated by giving a recursive algorithm for generating explicit expressions for the infinite number of commuting charges based on a reduction of the W∞ algebra. These charges exist for all spins s ≥ 2. Likewise, reductions of the W∞/2 and W(1+∞)/2 algebras yield the commuting quantum charges for the quantum KdV equation at c = −2 and c = 1 2 , respectively.
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