Bäcklund transformations and divisor doubling

DOI10.1016/j.geomphys.2018.01.017zbMath1385.37074arXiv1702.03642OpenAlexW2763542794MaRDI QIDQ1704626

Andreĭ Vladimirovich Tsyganov

Publication date: 12 March 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03642

zbMATH Keywords

integrable systemseparation of variablesBäcklund transformationarithmetic of divisors

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Integrable cases of motion in rigid body dynamics (70E40) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (10)

Bäcklund transformations for the nonholonomic Veselova system ⋮ On exact discretization of cubic-quintic Duffing oscillator ⋮ Integrable discretization and deformation of the nonholonomic Chaplygin ball ⋮ Discretization and superintegrability all rolled into one ⋮ On discretization of the Euler top ⋮ Discretization of Hamiltonian systems and intersection theory ⋮ Superintegrable systems with algebraic and rational integrals of motion ⋮ The Kepler problem: polynomial algebra of nonpolynomial first integrals ⋮ Bäcklund transformations for nonlinear differential equations and systems ⋮ Duffing Oscillator and Elliptic Curve Cryptography

Uses Software

• Book3264Examples

Cites Work

• On auto and hetero Bäcklund transformations for the Hénon-Heiles systems
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• Simultaneous separation for the Neumann and Chaplygin systems
• 3264 and All That
• A Canonical Transformation for the Exponential Lattice
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• New bi-Hamiltonian systems on the plane
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Integrable systems in the realm of algebraic geometry.
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