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摘要
The Harry Dym hierarchy is derived with the help of Lenard recursion equations and zero curvature equation. Based on the Lax matrix, an algebraic curve K-n of arithmetic genus n is introduced, from which the corresponding meromorphic function phi and Dubrovin- type equations are given. Further, the divisor and asymptotic properties of phi are studied. Finally, algebro- geometric solutions for the entire hierarchy are obtained according to above results and the theory of algebraic curve.
- 出版日期2017-4
- 单位信阳师范学院
