Access the full text.
Sign up today, get DeepDyve free for 14 days.
M. Jimbo, T. Miwa, A. Ueno (1981)
Monodromy Preserving Deformations Of Linear Differential Equations With Rational Coefficients. 1.Physica D: Nonlinear Phenomena
S. Chern, C. Peng (1979)
Lie groups and KdV equationsmanuscripta mathematica, 28
J. Moser (1980)
Various Aspects of Integrable Hamiltonian SystemsProgress in Mathematics (Birkhäuser), 3
H. Airault, H. McKean, J. Moser (1977)
Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problemCommunications on Pure and Applied Mathematics, 30
H. McKean (1979)
Integrable systems and algebraic curves
Zeng Yunbo, Li Yishen (1990)
Three kinds of constraints of potential for KdV hierarchyActa Mathematica Sinica, 6
Yunbo Zeng, Yi-shen Li (1989)
The constraints of potentials and the finite‐dimensional integrable systemsJournal of Mathematical Physics, 30
V. Arnold (1974)
Mathematical Methods of Classical Mechanics
M. Jimbo, T. Miwa (1981)
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. IIIPhysica D: Nonlinear Phenomena, 4
A hierarchy of Hamiltonian systems obtained from the Lax pair of KdV hierarchy under the constraint condition on potentialu = 〉q, q〈 is presented. The independent integrals for these Hamiltonian systems are constructed by using recursion operator and shown to be in involution. Thus this hierarchy of Hamiltonian systems is completely integrable in the sense of Liouville, and they commute with each other.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 15, 2005
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.