Reduction of infinite dimensional equations

Reduction of infinite dimensional equations

In this paper, we use the general Legendre transformation to show the infinite dimensional integrable equations can be reduced to a finite dimensional integrable Hamiltonian system on an invariant set under the flow of the integrable equations. Then we obtain the periodic or quasi-periodic solut...

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Bibliographic Details
Main Authors: Zhongding Li, Taixi Xu
Format: Article
Language:English
Published: Texas State University 2006-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Soliton equations
Hamiltonian equation
Euler-Lagrange equation
integrable systems
Legendre transformation
involutive system
symmetries of equations
invariant manifold
Poisson bracket
symplectic space.
Online Access:http://ejde.math.txstate.edu/Volumes/2006/17/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2006/17/abstr.html

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