Geodesic
New example of a nonlinear hyperbolic equation possessing integrals
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 20-26

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We discover an important new case in the classical problem of the classification of nonlinear hyperbolic equations possessing integrals. In the general (least degenerate) case, in addition, we obtain a formula describing the splitting of the right-hand side of such equations with respect to the first derivatives. 
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     author = {A. V. Zhiber and V. V. Sokolov},
     title = {New example of a nonlinear hyperbolic equation possessing integrals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {120},
     number = {1},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a1/}
}
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A. V. Zhiber; V. V. Sokolov. New example of a nonlinear hyperbolic equation possessing integrals. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 20-26. http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a1/