科研之友
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摘要
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tools involve hyperelliptic curve K-p associated with the Burchnall-Chaundy polynomial, Dubrovin-type equations for auxiliary divisors and associated trace formulas. With the help of a fundamental meromorphic function phi, Baker-Akhiezer vector Psi on K-p, the complex-valued algebro-geometric solutions of RT hierarchy are derived.
- 出版日期2013-9
- 单位复旦大学
