Concepedia

Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures

I. M. Gel'fand, Ilya Zakharevich

Selecta Mathematica · 2000 · 92 citations · 23 references

DOI

Concepts

References

23

A simple model of the integrable Hamiltonian equation

Franco Magri · Journal of Mathematical Physics · 1978 · 1.4K citations

, , +15

Lie algebras and equations of Korteweg-de Vries type

Vladimir Drinfeld · Journal of Mathematical Sciences · 1985 · 1.2K citations

, , +13

The local structure of Poisson manifolds

Alan Weinstein · Journal of Differential Geometry · 1983 · 1.2K citations · Full text

, , +7

Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support

Peter J. Olver, Philip Rosenau · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1996 · 813 citations

, , +17

The solution to a generalized Toda lattice and representation theory

Bertram Kostant · Advances in Mathematics · 1979 · 636 citations

, , +13