The Laplace method, algebraic curves, and nonlinear equations

DOI10.1007/BF01086158zbMath0583.35086OpenAlexW2071085122MaRDI QIDQ1070121

I. M. Krichever

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086158

zbMATH Keywords

Laplace methodfinite-gap potentiallinear Schrödinger equationKadomtsev-Petviashvilidifferential-difference schemes

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Linear ordinary differential equations and systems (34A30) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items

Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model

Cites Work

• Nonlinear equations and elliptic curves
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Theta functions on Riemann surfaces
• Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
• Fundamental torsional frequency of a class of solid wings
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