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On a class of inhomogeneous extensions for integrable evolution systems | | A. Sergyeyev
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21 Oct 2003 | | Journal: | Differential Geometry and its Applications (Proc. 8th Int. Conf.), Silesian Univ. in Opava, Opava, 2001, p.243-252 | | Subject: | Exactly Solvable and Integrable Systems; Analysis of PDEs; Mathematical Physics | nlin.SI math-ph math.AP math.MP | | Abstract: | 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. | | Source: | arXiv, nlin.SI/0310032 | | Services: | Forum | Review | PDF | Favorites | |
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