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Scheme of solution of nonlinear equations on the hypercomplex system SO(4)//SO(2)

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Abstract

We consider the infinitesimal algebra of the hypercomplex system with basis SO(4)//SO(2). In this algebra adjoint actions of the basis and infinitesimal algebra of the given hypercomplex system are constructed, the natural properties for the adjoint actions are proved. A scheme of solution of some second order nonlinear differential equations is constructed.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    G. B. Podkolzin

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  1. G. B. Podkolzin
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 7, pp. 971–974, July, 1990.

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Podkolzin, G.B. Scheme of solution of nonlinear equations on the hypercomplex system SO(4)//SO(2). Ukr Math J 42, 862–864 (1990). https://doi.org/10.1007/BF01062092

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  • DOI: https://doi.org/10.1007/BF01062092

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