On a class of inhomogeneous extensions for integrable evolution systems

Details On a class of inhomogeneous extensions for integrable evolution systems On a class of inhomogeneous extensions for integrable evolution systems

2003-10-21

arxiv.org/abs/nlin/0310032v1

Differential Geometry and its Applications (Proc. 8th Int. Conf.), Silesian Univ. in Opava, Opava, 2001, p.243-252

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, LaTeX 2e, no figures, talk at the 8th International Conference on Differential Geometry and its Applications

Scientific paper

In the present paper we prove the integrability (in the sense of existence of formal symmetry of infinite rank) for a class of block-triangular inhomogeneous extensions of (1+1)-dimensional integrable evolution systems. An important consequence of this result is the existence of formal symmetry of infinite rank for "almost integrable" systems, recently discovered by Sanders and van der Kamp.

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