Geodesic
Matrix functional substitutions for integrable dynamical systems and the Landau--Lifshitz equations
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 1, pp. 35-48

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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. 
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     author = {Victor M. Zhuravlev},
     title = {Matrix functional substitutions for integrable dynamical systems and the {Landau--Lifshitz} equations},
     journal = {Russian journal of nonlinear dynamics},
     pages = {35--48},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2014_10_1_a2/}
}
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Victor M. Zhuravlev. Matrix functional substitutions for integrable dynamical systems and the Landau--Lifshitz equations. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 1, pp. 35-48. http://geodesic.mathdoc.fr/item/ND_2014_10_1_a2/