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The Evolution Equation Hierarchy and Its Constraint Flows Related to the Fourth-Order Eigenvalue Problem

Author: ChenLanXin
Tutor: GuZhuQuan
School: Hebei University of Technology
Course: Applied Mathematics
Keywords: Eigenvalue problem Constrained Flows Non - self-adjoint system Bargmann System C. Neumann system Symplectic manifold Complete integrability Of the Representation
CLC: O175.29
Type: Master's thesis
Year: 2005
Downloads: 11
Quote: 1
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Abstract


This article focuses on the fourth-order eigenvalue problem : by means of the Bargmann constraint and the complete C. Neumann constraints , the corresponding evolution equations family Lax on nonlinear using the Euler-Lagrange equations and Legendre transform to construct a set of reasonable the the Jacobi-Ostrogradsky coordinates described by Lagrange mechanics infinite dimensional power system into symplectic manifold Hamilton canonical system and application Liouville theorem and Moser constraint method proved its can be integrated nature , and the corresponding development equation tribe in the finite -dimensional the solution subspace Representation .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Nonlinear partial differential equations
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