Based on the method of symplectic geometry and variational calculation,the method for some PDEs to be ordered and analytically represented by Hamiltonian canonical system is discussed.Meanwhile some related necessar...Based on the method of symplectic geometry and variational calculation,the method for some PDEs to be ordered and analytically represented by Hamiltonian canonical system is discussed.Meanwhile some related necessary and sufficient conditions are obtained展开更多
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 varia...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 coiefficients,the new nonhomogeneous Hamiltonial representation for fourth-order symmetry equation with constant coeffieients,the one of MDdV equation and KP equation.展开更多
基金Supported in part by the National Natural Science Foundation of China (1 0 0 71 0 2 1 ) the Foundationfor University Key Teacher by MEC and Shanghai Priority Academic Discipline Foundation
文摘Based on the method of symplectic geometry and variational calculation,the method for some PDEs to be ordered and analytically represented by Hamiltonian canonical system is discussed.Meanwhile some related necessary and sufficient conditions are obtained
文摘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 coiefficients,the new nonhomogeneous Hamiltonial representation for fourth-order symmetry equation with constant coeffieients,the one of MDdV equation and KP equation.
