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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Astronomy and Astrophysics
- Physics and Astronomy(all)