The Lax Representions Of The Evolution Equations Related To The Higher-Order Eigenvalue Problem And The Finite-Dimensions Hamiltionian Canonical System

Posted on:2011-12-03

Degree:Master

Type:Thesis

Country:China

Candidate:Z M Li

Full Text:PDF

GTID:2210330362952610

Subject:Applied Mathematics

Abstract/Summary:

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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.

Keywords/Search Tags:

eigenvalue problem, Bargmann system, Hamiltonian canonical system, sympletic manifold, completely inte-grablity

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