一些数学物理问题中的Hamilton方程

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基金项目: 国家自然科学基金资助项目(10072013;G19998030600);高等学校青年骨干教师科学基金项目;上海市重点学科基金项目

The Hamiltonian Equations in Some Mathematics and Physics Problems

1.
Department of Mathematics, Dalian University of Technology, Dalian 116023, China;
2.
Department of Mathematics, East China Normal University, Shanghai 200062, China

摘要: 讨论了新的一系列在数学物理方程中微分方程的Hamilton正则表示,其中包括变系数2阶对称方程的Hamilton系统,关于常系数的4阶对称方程新的非齐次Hamilton表示,MKdV方程以及KP方程的正则表示.
- 无穷维Hamilton系统 /
- Hamilton正则方程 /
- Hamilton算子 /
- MKdV方程 /
- KP方程
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 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.
- infinite dimensional Hamiltonian system /
- Hamiltonian canonical system /
- Hamiltonian operator /
- MKdV equations /
- KP equation

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