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Exact linearization of nonlinear ordinary autonomous differential equations

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Abstract

Many methods for finding exact solutions to nonlinear ordinary differential equations (ODE) are based on certain euristic rules. The author suggested a newexact linearization method that provides an algorithmic procedure for constructing exact solutions for some important classes of ODEs [1].

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References

  1. Berkovich, L.M., Factorization of Nonlinear Ordinary Differential Equations and Linearization,ICM’1998, Abstracts of Plenary and Invited Lectures, Berlin, 1998, pp. 48–49.

  2. Berkovich, L.M., Factorization of Some Classes of Nonlinear Ordinary Differential Equations: Methods and Algorithms,ISSAC’98, Poster Session, Rostock, p. 16.

  3. Samarskii, A.A., Galaktionov, V.A., Kurdyumov, S.P., and Mikhailov, A.P.,Rezhimy s obostreniem v kvasilineiykh parabolicheskikh uravneniyakh (Blow-up Modes in Quasilinear Parabolic Equations), Moscow: Nauka, 1987.

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Authors and Affiliations

  1. Samara State University, 443011, Samara, Russia

    L. M. Berkovich

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  1. L. M. Berkovich
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Correspondence to L. M. Berkovich.

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Berkovich, L.M. Exact linearization of nonlinear ordinary autonomous differential equations. Program Comput Soft 26, 25–27 (2000). https://doi.org/10.1007/BF02759174

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  • DOI: https://doi.org/10.1007/BF02759174

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