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Chapter
Henry P. McKean Jr. and Integrable Systems
Henry McKean’s first contribution to integrable systems appeared in 1975 [15]. Over a period of more than 30 years since, in some 50 papers, he has explored integrable systems from uniquely original points of ...
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Chapter and Conference Paper
A Morse Theoretic Proof of Poisson Lie Convexity
Let K be a connected compact Lie group that acts on the connected compact symplectic manifold (X, ω) preserving the symplectic form. If for every ξ in the Lie algebra p of K, the vector field ξx(x) = d/dt| ...
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Article
Variétés de drapeaux et réseaux de Toda
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Article
Monodromy- and spectrum-preserving deformations I
A method for solving certain nonlinear ordinary and partial differential equations is developed. The central idea is to study monodromy preserving deformations of linear ordinary differential equations with re...
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Chapter and Conference Paper
Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method
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Chapter
Integrable systems of nonlinear evolution equations
The method, developed by Gardner, Greene, Kruskal and Miura, for solving nonlinear evolution equations is looked at from three perspectives; (i) as a nonlinear Fourier transform, (ii) as a completely integrabl...