liouville equation 中文意思是什麼
liouville equation
解釋
劉維爾方程-
In this paper, we convert the complex third order eigenvalue problems into the real third order eigenvalue problems. then, based on the euler - lagrange equation and legendre transformation, a reasonable jacobi - ostrogredsky coordinate system have been found, then using nonlinear method, the lax pairs of the real bargrnann and neumann system are nonlinearized, so as to be a new finite - dimensional integrable hamilton system in the liouville sense is generated. moreover, the involutive representations of the solution for the evolution equations are obtained
本文將復的三階特徵值問題轉化為實的三階特徵值問題，利用euler - lagrange方程和legendre變換，找到一組合理的實的jacobi - ostrogredsky坐標系，從而找到與之相關的實化系統，再利用曹策問教授的非線性化方法，分別將三階特徵值問題及相應的lax對進行非線性化，從而得到bargmann勢和neumann勢約束系統，並證明它們是liouville意義下的完全可積系統，進而給出了bargmann系統和neumann系統的對合解。 -
In this paper, we analyze the nonlinear response of a three - level a model system, using a perturbation theory based on the liouville equation. of motion and considering the lorentz local field effect
本文中，我們考慮了lorentz局域場效應的影響，在liouville運動方程的基礎上用微擾理論分析了一個三能級系統的非線性響應。 -
Starting from isospectral problems, tu ' s scheme is applied to generate a well - known generalized burgers equation hierarchy, a class of new mkdv - nls equation hierarchy and a family of discrete nonlinear evolution equations. they are shown to be liouville integrable hamiltonian systems
從等譜問題出發，利用屠格式導出了著名的廣義burgers方程族和一類新的mkdv - nls方程族，及一族離散的非線性演化方程，且證明了它們均是liouville可積的廣義hamilton方程族。
分享友人