nonlinearized 中文意思是什麼
nonlinearized
解釋
非線性化的-
In this paper, by means of the euler systems on the symplectic manifold, the bargmann system and the neumann system for the 4f / lorder eigenvalue problems : are gained. then the lax pairs for them are nonlinearized respectively under the bargmann constraint and the neumann constraint. by means of this and based on the euler - lagrange function and legendre transformations, the reasonable jacobi - ostrogradsky coordinate systems are found, which can also be realized
本文主要通過流形上的euler系統，討論四階特徵值問題所對應的bargmann系統和neumann系統，藉助于lax對非線性化及euler - lagrange方程和legendre變換，構造一組合理的且可實化的jacobi - ostrogradsky坐標系? hamilton正則坐標系，將由lagrange力學描述的動力系統轉化為辛空間（ r ~ （ 8n ） ， ）上的hamillton正則系統。 -
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。 -
Three eigenvalue problems associated with the same isospectral evolution equation are proposed. the corresponding nonlinearized eigenvalue problems and their relations are studied by the reduction procedure
摘要通過約化理論，研究了對應于同一離散孤立子方程族的三個離散特徵值問題的非線性化特徵值問題以及它們之間的關系。 -
Then the nonlinearization procedure is applied to the eigenvalue problem of mkdv - nls hierarchy. under bargmann constraint, it is shown that lax pairs are nonlinearized to be two finite - dimensional liouville completely integrable system
同時，應用非線性化技巧，證明了在bargmann約束下， mkdv - nls方程族的lax對可被非線性化為兩個有限維liouville完全可積系。
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