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| A NEW POLYNOMIAL INVOLUTIVE SYSTEM AND A CLASSICAL COMPLETELY INTEGRABLE SYSTEM | |
| 作者姓名： | 牟卫华 张保才 乔志军 |
| 作者单位： | Shijiazhuang Railway Institute，Shijiazhuang 050048，China，Shijiazhuang Railway Institute，Shijiazhuang 050048，China，Liaoning University，Shenyang 110086，China |
| 摘 要： | Under the constrained condition induced by the eigenfunctions and the potentials, the Laxsystems of nonlinear evolution equations in relation to a matris eigenvalue problem are nonlin-earized to be a completely integrable system (R~(zN),dp∧dq, H), while the time part of it isnonlinearized to be its N-involutive system {F_m}. The involutive solution of the compatiblesystem (F_0), (F_m) is transformed into the solution of the m-th nonlinear evolution equation. |
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