CHEN Yong, ZHENG Yu, ZHANG Hong-qing. The Hamiltonian Equations in Some Mathematics and Physics Problems[J]. Applied Mathematics and Mechanics, 2003, 24(1): 19-24.
Citation:
CHEN Yong, ZHENG Yu, ZHANG Hong-qing. The Hamiltonian Equations in Some Mathematics and Physics Problems[J]. Applied Mathematics and Mechanics, 2003, 24(1): 19-24.
CHEN Yong, ZHENG Yu, ZHANG Hong-qing. The Hamiltonian Equations in Some Mathematics and Physics Problems[J]. Applied Mathematics and Mechanics, 2003, 24(1): 19-24.
Citation:
CHEN Yong, ZHENG Yu, ZHANG Hong-qing. The Hamiltonian Equations in Some Mathematics and Physics Problems[J]. Applied Mathematics and Mechanics, 2003, 24(1): 19-24.
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 2-order equation with the variable coefficients, the new nonhomogeneous Hamiltonian representation for 4-order symmetry equation with constant coefficients, the one of MKdV equation and KP equation.
FENG Kang.On difference schemes and symplectic geometry[A].In:D Schmidt Ed.Proceeding of 1984 Beijing International Symposium on Differential Geometry and Differential Equations[C].Beijing:Science Press,1985,42-58.
[2]
Olver P J.Applications of Lie Group to Differential Equations[M].New York:Springer-Verlag,1986.
[3]
Gardner C S.Korteweg-de Vries equations and generalization Ⅳ The Korteweg-de Vries equations as a Hamiltonian system[J].J Math Phys,1971,12(8):1548-1551.
[4]
Magri F.A simple model of the integrable Hamiltonian equation[J].J Math Phys,1978,19(5):1156-1162.
[5]
Abraham R,Marsden J E,Ratiu T.Manifolds Tensor Analysis and Applications[M].New York:Springer-Verlag,1990.