Matrix functional substitutions for integrable dynamical systems and the Landau–Lifshitz equations
2014, Vol. 10, No. 1, pp. 35-48
Author(s): 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.
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