Kozlov-Treshchev Birkhoff可积势的最后一种可积情形
The last integrable case of kozlov-Treshchev Birkhoff integrable potentials
摘要:
我们建立了Birkhoff可积Hamilton系统的Kozlov-Treshchev分类中最后一个开例的可积性。所使用的技术是对$D_n$ Toda晶格的所谓二次拉克斯对的修改,结合M. Ranada在证明Sklyanin情况下的可积性。
英文摘要:
We establish the integrability of the last open case in the Kozlov-Treshchev classification of Birkhoff integrable Hamiltonian systems. The technique used is a modification of the so called quadratic Lax pair for $D_n$ Toda lattice combined with a method used by M. Ranada in proving the integrability of the Sklyanin case.
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