THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (1): 22-27.

THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS

陈勇¹, 郑宇², 张鸿庆¹

1. Department of Mathematics, Dalian University of Technology, Dalian 116023, China;
2. Department of Mathematics, East China Normal University, Shanghai 200062, China

收稿日期:2001-04-03 修回日期:2002-06-18 出版日期:2003-01-18 发布日期:2003-01-18
基金资助:
the National Natural Science Foundation of China(10072013,G19998030600);the Foundation for University Key Teacher by MEC;Shanghai Priority Academic Discipline and N KBRSF

THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS

CHEN Yong¹, ZHENG Yu², ZHANG Hong-qing¹

1. Department of Mathematics, Dalian University of Technology, Dalian 116023, China;
2. Department of Mathematics, East China Normal University, Shanghai 200062, China

Received:2001-04-03 Revised:2002-06-18 Online:2003-01-18 Published:2003-01-18
Supported by:
the National Natural Science Foundation of China(10072013,G19998030600);the Foundation for University Key Teacher by MEC;Shanghai Priority Academic Discipline and N KBRSF

摘要/Abstract

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

中图分类号:

O175.29

陈勇;郑宇;张鸿庆. THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(1): 22-27.

CHEN Yong;ZHENG Yu;ZHANG Hong-qing. THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(1): 22-27.

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THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS

THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS

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