Published July 1989
| Version v1
Journal article
Finite-gap solutions of Abelian Toda chain of genus 4 and 5 in elliptic functions
Description
A reduction theorem is formulated and proved. Smooth real solutions of the Abelian Toda chain of genus 4 and 5 are obtained in elliptic functions. Solutions of genus 2g and 2g + 1 of the discrete Peierls-Froehlich model in the absence of intramolecular deformation are constructed in terms of g-dimensional theta functions
Additional details
Publishing Information
- Journal Title
- Theoretical and Mathematical Physics (English Translation)
- Journal Volume
- 78
- Journal Issue
- 1
- Series
- Theor. Math. Phys. (Engl. Transl.).
- Journal Page Range
- 6-13
- ISSN
- 0040-5779
- CODEN
- TMPHA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 22035812
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; CONVERGENCE; CRYSTAL LATTICES; CRYSTAL MODELS; DEFORMATION; ELECTRON SPECTRA; FOUR-DIMENSIONAL CALCULATIONS; FUNCTIONS; HAMILTONIANS; INTEGRALS; KORTEWEG-DE VRIES EQUATION; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL MANIFOLDS; NONLINEAR PROBLEMS; PEIERLS METHOD; RIEMANN SPACE; SERIES EXPANSION
- Descriptors DEC
- CRYSTAL STRUCTURE; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; SPECTRA
Optional Information
- Notes
- Cover-to-cover translation of Teoreticheskaya i Matematicheskaya Fizika (USSR).