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

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THE HAMILTONIAN EQUATIONS IN SOME MATHEMATICS AND PHYSICS PROBLEMS

CHEN Yong1, ZHENG Yu2, ZHANG Hong-qing1   

  1. 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

Abstract: 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.

2010 MSC Number: 

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