Abstract:
Higher-order local integrals of motion for the classical sine-Gordon system are calculated. For the kth integral of motion, the general formula is obtained. It is discussed how the integrals of motion can be used for constructing classical lattice $W_{n}$-algebras. A direct consideration is given for the case of $W_{2}$.
Citation:
S. V. Kryukov, “Integrals of motion for the classical sine-Gordon lattice system”, TMF, 105:2 (1995), 214–224; Theoret. and Math. Phys., 105:2 (1995), 1359–1368