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Construction of exact solutions for a class of nonlinear systems of equations by the method of generalized separation of variables

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Abstract

The method of generalized separation of variables is applied to a class of systems of nonlinear equations in order to find all their solutions that can be represented as products of functions of separate variables. The results obtained are used for the construction of the first approximation of wind velocity components (expanded in powers of a small parameter) in a simplified model of a cyclone.

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Authors and Affiliations

  1. RESO-Garantiya, Moscow, Russia

    N. V. Zharova

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  1. N. V. Zharova
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 27, Part I, pp. 126–143, 2009.

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Zharova, N.V. Construction of exact solutions for a class of nonlinear systems of equations by the method of generalized separation of variables. J Math Sci 163, 78–88 (2009). https://doi.org/10.1007/s10958-009-9659-9

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  • DOI: https://doi.org/10.1007/s10958-009-9659-9

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