The Hamiltonian equations in some mathematics and physics problems
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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.
Key wordsinfinite dimensional Hamiltonian system Hamiltonian canonical system Hamiltonian operator MKdV (Modified Korteweg-de Vries) equation KP (Kadomtsev-Petviashvili) equation
Chinese Library ClassificationO175.29
2000 MR Subject Classification58E30 35Q72 49N45 74H30
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