@Article{JPDE-10-123, author = {}, title = {A New Completely Integrable Liouville's System Produced by the Ma Eigenvalue Problem}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {2}, pages = {123--135}, abstract = { Under the constraint between the potentials and eigenfunctions, the Ma eigenvalue problem is nonlinearized as a new completely integrablc Hamiltonian system (R^{2N}, dp∧dq, H): H = \frac{1}{2}α〈∧q,p〉 - \frac{1}{2}α_3 〈q,q〉 + \frac{α}{4α_3η} 〈q,p〉 〈p,p〉 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5586.html} }