On Darboux-Integrable Nonlinear Partial Differential Equations

S. P. Tsarev

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Solitons, geometry, and topology: on the crossroads, Tome 225 (1999), pp. 389-399.

Résumé

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.

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