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Article overview
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Graded Lie algebras, representation theory, integrable mappings and systems | A. N. Leznov
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8 Aug 1998 | Subject: | Mathematical Physics; Exactly Solvable and Integrable Systems | math-ph hep-th math.MP nlin.SI solv-int | Abstract: | A new class of integrable mappings and chains is introduced. Corresponding $(1+2)$ integrable systems invariant with respect to such discrete transformations are presented in an explicit form. Their soliton-type solutions are constructed in terms of matrix elements of fundamental representations of semisimple $A_n$ algebras for a given group element. The possibility of generalizing this construction to multi-dimensional case is discussed. | Source: | arXiv, math-ph/9808003 | Services: | Forum | Review | PDF | Favorites |
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