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Graded algebras of the second rank and integration of nonlinear equations Y zz =exp (2Y)−2Y, Y zz =2 exp (Y)−exp (−2Y)

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Abstract

In the terms of the notions of the theory of infinite-dimensional algebras of finite growth of the second rank, we have derived solutions to the equations; Y zz =exp (2Y)−2Y, Y zz =2 exp (Y)−exp (−2Y) dependent on two arbitrary functions.

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Author notes

  1. V. G. Smirnov

    Present address: Moscow Institute of Electronic Engineering, Serpukhov, U.S.S.R.

Authors and Affiliations

  1. Institute for Higher Energy Physics, Protvino, P.O. 142284, Serpukhov, Moscow Region, U.S.S.R.

    A. N. Leznov & V. G. Smirnov

Authors
  1. A. N. Leznov
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  2. V. G. Smirnov
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Leznov, A.N., Smirnov, V.G. Graded algebras of the second rank and integration of nonlinear equations Y zz =exp (2Y)−2Y, Y zz =2 exp (Y)−exp (−2Y). Lett Math Phys 5, 31–36 (1981). https://doi.org/10.1007/BF00401824

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  • DOI: https://doi.org/10.1007/BF00401824

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