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Volume 10, Issue 2
A New Completely Integrable Liouville's System Produced by the Ma Eigenvalue Problem

Sirendaoreji

J. Part. Diff. Eq.,10(1997),pp.123-135

Published online: 1997-10

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  • 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.
  • Keywords

Ma eigenvalue problem Bargmann constraint involutive system involutive solution

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@Article{JPDE-10-123, author = {Sirendaoreji}, 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} }
TY - JOUR T1 - A New Completely Integrable Liouville's System Produced by the Ma Eigenvalue Problem AU - Sirendaoreji 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∧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.
Sirendaoreji. (1997). A New Completely Integrable Liouville's System Produced by the Ma Eigenvalue Problem. Journal of Partial Differential Equations. 10 (2). 123-135. doi:
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