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    Victor Zhuravlev

    Leo Tolstoy str. 42, Ulyanovsk, 432017, Russia
    Ulyanovsk State University


    Zhuravlev V. M.
    The paper sets out the main elements of the theory of matrix functional substitutions to the construction of integrable finite-dimensional dynamical systems and the application of this theory to the integration of the Landau–Lifshitz equation for a homogeneous magnetic field in the external variable fields. Developed a general scheme for constructing solutions and is an example of the construction of the exact solution for a circularly polarized field.
    Keywords: integrable finite-dimensional dynamical systems, matrix functional substitutions, Landau–Lifshitz equations
    Citation: Zhuravlev V. M.,  Matrix functional substitutions for integrable dynamical systems and the Landau–Lifshitz equations, Rus. J. Nonlin. Dyn., 2014, Vol. 10, No. 1, pp.  35-48

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