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The Lax Representions of the Evolution Equations Related to the Higher-Order Eigenvalue Problem and the Finite-Dimensions Hamiltionian Canonical System

Author: LiZhiMei
Tutor: GuZhuQuan
School: Hebei University of Technology
Course: Applied Mathematics
Keywords: eigenvalue problem Bargmann system Hamiltonian canonical system sympletic manifold completely inte-grablity
CLC: O175.9
Type: Master's thesis
Year: 2010
Downloads: 9
Quote: 0
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Abstract


In this paper,we discuss the Bargmann system for the 3th-order corn-plex eigenvalue problem with the energy is dependent on speed:By the Euler-lagrange equations and Legendre transformations,the evolu-tion equations and the Lax representations are obtained. Then we discussthe finite-dimensions Hamiltonian canonical systerms.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Eigenvalue and the eigenvalue function
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