Algebro-geometric solutions of the Sawada-Kotera hierarchy

报告人：耿献国教授 (郑州大学)

摘   要：The Sawada-Kotera hierarchy associated with a 3×3 matrix spectral problem is proposed with the aid of Lenard recursion equations. By using the characteristic polynomial of Lax matrix for the Sawada-Kotera hierarchy, we introduce a trigonal curve of arithmetic genus m-1, from which we derive the associated Baker-Akhiezer function, the meromorphic function and Dubrovin-type equations. Based on the theory of trigonalcurves,we construct the explicit theta function representations of the Baker-Akhiezer function and the meromorphic function, by which Its-Matveev formulae of algebro-geometric solutions for the entire Sawada-Kotera hierarchy are obtained.

时  间：8月18日9:00-10:00

地  点：565net必赢客户端教二楼827

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