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Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations

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Abstract

Using a new definition of the generalized factorization of linear partial differential operators, we discuss possible generalizations of the Darboux integrability of nonlinear partial differential equations.

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Authors and Affiliations

  1. Krasnoyarsk State Pedagogical University, Krasnoyarsk, Russia

    S. P. Tsarev

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  1. S. P. Tsarev
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 122, No. 1, pp. 144–160, January, 1999.

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Tsarev, S.P. Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations. Theor Math Phys 122, 121–133 (2000). https://doi.org/10.1007/BF02551175

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  • DOI: https://doi.org/10.1007/BF02551175

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