Canonical equations of Hamilton for the nonlinear Schrödinger equation

  title={Canonical equations of Hamilton for the nonlinear Schr{\"o}dinger equation},
  author={Guo Liang and Qi Guo and Zhanmei Ren},
  journal={Journal of Physics: Conference Series},
We define two different systems of mathematical physics: the second order differential system (SODS) and the first order differential system (FODS). The Newton's second law of motion and the nonlinear Schrödinger equation (NLSE) are the exemplary SODS and FODS, respectively. We obtain a new kind of canonical equations of Hamilton (CEH), which exhibit some kind of symmetry in form and are formally different from the conventional CEH without symmetry [H. Goldstein, C. Poole, J. Safko, Classical… 
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