THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS

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THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS

Some new Hamiltonian canonical system are discussed for a series of partialdifferential equations in Mathematics and Physics. It includes the Hamiltonian formalism forthe symmetry second-order equation with the variable coefficients, the new nonhomogeneousHamiltonian representation for fourth-order symmetry equation with constant coefficients,the one of MKdV equation and KP equation.

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作 者: 陈勇 郑宇 张鸿庆  
作者单位:陈勇,张鸿庆(Department of Mathematics, Dalian University of Technology Dalian 116023, China)
(Qo-`q}f0郑宇(Departmnent of Mathematics, East China Normal University, Shanghai 200062, China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2003 24(1) 
分类号:O175.29 
关键词:infinite dimensional Hamiltonian system   Hamiltonian canonical system   Hamiltonian operator   MKdV ( Modified Korteweg-de Vries) equation   KP ( Kadomtsev- Petviashvili ) equation  
机标关键词:Hamiltonian canonical systemvariable coefficientsHamiltonian formalismMKdV equationKP equation 
基金项目:国家自然科学基金,NKBRSF 
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