Graded Lie algebras, representation theory, integrable mappings and systems

@article{Leznov1998GradedLA,
  title={Graded Lie algebras, representation theory, integrable mappings and systems},
  author={Andrey N. Leznov},
  journal={arXiv: Mathematical Physics},
  year={1998}
}
  • A. Leznov
  • Published 8 August 1998
  • Mathematics
  • arXiv: Mathematical Physics
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The new class of integrable mappings and chains is introduced. Corresponding (1+2) integrable systems invariant with respect to such discrete transformations are represented in explicit form. Soliton
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All exactly integrable systems connected with the semisimple algebras of the second rank with an arbitrary choice of the grading in them are presented in explicit form. General solution of such
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Graded algebras of the second rank and integration of nonlinear equations Yzz=exp (2Y)−2Y, Yzz=2 exp (Y)−exp (−2Y)
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