关于Mikhailov-Novikov-Wang系统的完全可积性
On complete integrability of the Mikhailov-Novikov-Wang system
摘要：
本文给出了Mikhailov，Novikov和Wang（arXiv：0712.1972）最近发现的一个新的两分量五阶可积系统的相容Hamilton和辛结构，并证明了该系统具有遗传递归算子和无穷多个交换对称和守恒律，以及无穷多个相容Hamilton和辛结构，因而是完全可积的.该系统的问题承认减少Kaup-Kupershirt方程。
英文摘要：
We obtain compatible Hamiltonian and symplectic structure for a new two-component fifth-order integrable system recently found by Mikhailov, Novikov and Wang (arXiv:0712.1972), and show that this system possesses a hereditary recursion operator and infinitely many commuting symmetries and conservation laws, as well as infinitely many compatible Hamiltonian and symplectic structures, and is therefore completely integrable. The system in question admits a reduction to the Kaup--Kupershmidt equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
