Dubrovin, B. A. [Krichever, I. M.] Theta functions and non-linear equations. (English) Zbl 0549.58038 Russ. Math. Surv. 36, No. 2, 11-92 (1981). Translation from Usp. Mat. Nauk 36, No.2(218), 11-80 (Russian) (1981; Zbl 0478.58038). Cited in 3 ReviewsCited in 185 Documents MSC: 58J99 Partial differential equations on manifolds; differential operators 35Q99 Partial differential equations of mathematical physics and other areas of application 53C22 Geodesics in global differential geometry 14H40 Jacobians, Prym varieties 14H52 Elliptic curves 30F99 Riemann surfaces 35B99 Qualitative properties of solutions to partial differential equations 35C99 Representations of solutions to partial differential equations Keywords:theta-functions; Riemann motions; nonlinear differential equations; Schrödinger equation; theta-functions of Riemann surfaces; two-zone potentials; Kovalevskaya problem; geodesics on an ellipsoid; non-abelian Toda lattice Citations:Zbl 0478.58038 PDFBibTeX XMLCite \textit{B. A. Dubrovin}, Russ. Math. Surv. 36, No. 2, 11--92 (1981; Zbl 0549.58038) Full Text: DOI