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.

Original languageEnglish
Pages (from-to)22-27
Number of pages6
JournalApplied Mathematics and Mechanics (English Edition)
Volume24
Issue number1
StatePublished - Jan 2003

Keywords

  • Hamiltonian canonical system
  • Hamiltonian operator
  • Infinite dimensional Hamiltonian system
  • KP (Kadomtsev-Petviashvili) equation
  • MKdV (Modified Korteweg-de Vries) equation

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