Otro
The complex sine-Gordon equation as a symmetry flow of the AKNS hierarchy
Registro en:
Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 33, n. 35, p. L331-L337, 2000.
0305-4470
10.1088/0305-4470/33/35/101
WOS:000089474600001
Autor
Aratyn, H.
Ferreira, L. A.
Gomes, J. F.
Zimerman, A. H.
Resumen
It is shown how the complex sine-Gordon equation arises as a symmetry flow of the AKNS hierarchy. The AKNS hierarchy is extended by the 'negative' symmetry flows forming the Borel loop algebra. The complex sine-Gordon and the vector nonlinear Schrodinger equations appear as lowest-negative and second-positive flows within the extended hierarchy. This is fully analogous to the well known connection between the sine-Gordon and mKdV equations within the extended mKdV hierarchy. A general formalism for a Toda-like symmetry occupying the 'negative' sector of the sl(N) constrained KP hierarchy and giving rise to the negative Borel sl(N) loop algebra is indicated.