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The Hamiltonian equations in some mathematics and physics problems |
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| Authors: | Chen Yong Zheng Yu Zhang Hong-qing |
| Affiliation: | 1. Department of Mathematics, Dalian University of Technology, Dalian 116023, China;2. Department of Mathematics, East China Normal University, Shanghai 200062, China |
| 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. |
| Keywords: | infinite dimensional Hamiltonian system Hamiltonian canonical system Hamiltonian operator MKdV (Modified Korteweg_de Vries) equation KP (Kadomtsev_Petviashvili) equation |
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