Geodesic
One Class of Liouville-Type Systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 141 (2004) no. 2, pp. 208-227 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that a class of systems with the Lagrangian of the form $L=\bigl[g_{ij}(u)u^i_xu^j_t\bigr]/2+f(u)$ is of the Liouville type. We construct new integrable Hamiltonian systems related to the symmetries of the hyperbolic systems under consideration by substitutions of the Miura transformation type. For one of the systems obtained, we construct the second-order recursion operator.
Mots-clés : system of Liouville type
Keywords: higher pseudoconstants, recursion operator. 
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D. K. Demskoi. One Class of Liouville-Type Systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 141 (2004) no. 2, pp. 208-227. http://geodesic.mathdoc.fr/item/TMF_2004_141_2_a3/

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