Concepedia

Discrete versions of some classical integrable systems and factorization of matrix polynomials

Jürgen Moser

Communications in Mathematical Physics · 1991 · 491 citations · 18 references

DOI

Concepts

References

18

NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

Boris Dubrovin, V. B. Matveev, S. P. Novikov · Russian Mathematical Surveys · 1976 · 719 citations

, , +13

Completely integrable systems, Euclidean Lie algebras, and curves

Mark Adler, Pierre van Moerbeke · Advances in Mathematics · 1980 · 358 citations

, , +14

Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors

R. J. Baxter · Annals of Physics · 1973 · 347 citations

, , +12

Reduction of Hamiltonian systems, affine Lie algebras and Lax equations

A. G. Reyman, Michael Semenov-Tian-Shansky · Inventiones mathematicae · 1979 · 254 citations

, , +14

Factorization of selfadjoint matrix polynomials with constant signature

Israel Gohberg, Peter Lancaster, Leiba Rodman · Linear and Multilinear Algebra · 1982 · 253 citations

, , +7