Ordered analytic representation of PDEs by Hamiltonian canonical system

Zheng Yu; Chen Yong

doi:10.1007/s11766-002-0042-6

Ordered analytic representation of PDEs by Hamiltonian canonical system

Zheng Yu
, Chen Yong

School of Mathematical Sciences

Dalian University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

Based on the method of symplectic geometry and variational calculation, the method for some PDEs to be ordered and analytically represented by Hamiltonian canonical system is discussed. Meanwhile some related necessary and sufficient conditions are obtained.

Original language	English
Pages (from-to)	177-182
Number of pages	6
Journal	Applied Mathematics
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s11766-002-0042-6
State	Published - Jun 2002

Keywords

Hamiltonian canonical system
Ordered anlytic representation
Potential operator
Symplectic form
Variational calculation

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title = "Ordered analytic representation of PDEs by Hamiltonian canonical system",

abstract = "Based on the method of symplectic geometry and variational calculation, the method for some PDEs to be ordered and analytically represented by Hamiltonian canonical system is discussed. Meanwhile some related necessary and sufficient conditions are obtained.",

keywords = "Hamiltonian canonical system, Ordered anlytic representation, Potential operator, Symplectic form, Variational calculation",

author = "Zheng Yu and Chen Yong",

year = "2002",

month = jun,

doi = "10.1007/s11766-002-0042-6",

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AU - Yu, Zheng

AU - Yong, Chen

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N2 - Based on the method of symplectic geometry and variational calculation, the method for some PDEs to be ordered and analytically represented by Hamiltonian canonical system is discussed. Meanwhile some related necessary and sufficient conditions are obtained.

AB - Based on the method of symplectic geometry and variational calculation, the method for some PDEs to be ordered and analytically represented by Hamiltonian canonical system is discussed. Meanwhile some related necessary and sufficient conditions are obtained.

KW - Hamiltonian canonical system

KW - Ordered anlytic representation

KW - Potential operator

KW - Symplectic form

KW - Variational calculation

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U2 - 10.1007/s11766-002-0042-6

DO - 10.1007/s11766-002-0042-6

M3 - 文章

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VL - 17

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JO - Applied Mathematics

JF - Applied Mathematics

IS - 2

ER -

Ordered analytic representation of PDEs by Hamiltonian canonical system

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Keywords

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