Higher order Painleve equations and their symmetries via reductions of a class of integrable models
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2011-06-10
Autores
Aratyn, H.
Gomes, J. F. [UNESP]
Zimerman, Abraham Hirsz [UNESP]
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Iop Publishing Ltd
Resumo
Higher order Painleve equations and their symmetry transformations belonging to extended affine Weyl groups A(n)((1)) are obtained through a self-similarity limit of a class of pseudo-differential Lax hierarchies with symmetry inherited from the underlying generalized Volterra lattice structure. In particular, an explicit example of the Painleve V equation and its Backlund symmetry is obtained through a self-similarity limit of a generalized KdV hierarchy from Aratyn et al (1995 Int. J. Mod. Phys. A 10 2537).
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Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 44, n. 23, p. 13, 2011.