Geodesic
Integrals of motion for the classical sine-Gordon lattice system
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 2, pp. 214-224 
S. V. Kryukov. Integrals of motion for the classical sine-Gordon lattice system. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 2, pp. 214-224. http://geodesic.mathdoc.fr/item/TMF_1995_105_2_a3/
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     author = {S. V. Kryukov},
     title = {Integrals of motion for the classical {sine-Gordon} lattice system},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1995_105_2_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $W_{2}$.

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