TY - JOUR
T1 - A New Completely Integrable Liouville's System Produced by the Ma Eigenvalue Problem
JO - Journal of Partial Differential Equations
VL - 2
SP - 123
EP - 135
PY - 1997
DA - 1997/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5586.html
KW - Ma eigenvalue problem
KW -  Bargmann constraint
KW -  involutive system
KW -  involutive solution
AB -  Under the constraint between the potentials and eigenfunctions, the Ma eigenvalue problem is nonlinearized as a new completely integrablc Hamiltonian system (R^{2N}, dp&#8743dq, H): H = \frac{1}{2}&#945&#9001&#8743q,p&#9002 - \frac{1}{2}&#945_3 &#9001q,q&#9002 + \frac{&#945}{4&#945_3&#951} &#9001q,p&#9002 &#9001p,p&#9002 The involutive solution of the high-order Ma equation is also presented. The new completely integrable Hamiltonian systems are obtained for DLW and Levi eigenvalue problems by reducing the remarkable Ma eigenvalue problem.