Higher order Painleve equations and their symmetries via reductions of a class of integrable models

Aratyn, H.Gomes, J. F. [UNESP]Zimerman, Abraham Hirsz [UNESP]2013-09-302014-05-202013-09-302014-05-202011-06-10Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 44, n. 23, p. 13, 2011.1751-8113http://hdl.handle.net/11449/24316Higher 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).13engHigher order Painleve equations and their symmetries via reductions of a class of integrable modelsArtigo10.1088/1751-8113/44/23/235202WOS:000290518800003Acesso restrito92877760781495518215976645016606