Geodesic
On Darboux-Integrable Nonlinear Partial Differential Equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Solitons, geometry, and topology: on the crossroads, Tome 225 (1999), pp. 389-399

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We describe a new theory of factorization of linear partial differential operators (LPDO) and discuss related generalizations of the notion of Darboux integrability of nonlinear partial differential equations. 
@article{TM_1999_225_a25,
     author = {S. P. Tsarev},
     title = {On {Darboux-Integrable} {Nonlinear} {Partial} {Differential} {Equations}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {389--399},
     publisher = {mathdoc},
     volume = {225},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1999_225_a25/}
}
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S. P. Tsarev. On Darboux-Integrable Nonlinear Partial Differential Equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Solitons, geometry, and topology: on the crossroads, Tome 225 (1999), pp. 389-399. http://geodesic.mathdoc.fr/item/TM_1999_225_a25/