Year: 1997
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1997-JPDE-5586
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 2 : pp. 123–135
Published online: 1997-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Ma eigenvalue problem