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The Hamiltonian equations in some mathematics and physics problems

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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.

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Authors and Affiliations

  1. Department of Mathematics, Dalian University of Technology, 116023, Dalian, China

    Chen Yong & Zhang Hong-qing

  2. Department of Mathematics, East China Normal University, 200062, Shanghai, China

    Zheng Yu

Authors
  1. Chen Yong
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  2. Zheng Yu
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  3. Zhang Hong-qing
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Additional information

Contributed by ZHANG Hong-qing

Foundation items: the National Natural Science Foundation of China (10072013, G19998030600); the Foundation for University Key Teacher by MEC; Shanghai Priority Academic Discipline and NKBRSF

Biography: CHEN Yong (1960-), Doctor E-mail: chenyong@dlut.edu.cn

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Yong, C., Yu, Z. & Hong-qing, Z. The Hamiltonian equations in some mathematics and physics problems. Appl Math Mech 24, 22–27 (2003). https://doi.org/10.1007/BF02439373

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  • DOI: https://doi.org/10.1007/BF02439373

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