On the Moduli of a Quantized Elastica in ℙ and KdV Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I
From MaRDI portal
Publication:5315845
DOI10.1142/S0129055X03001722zbMath1079.58006arXivmath/9808099OpenAlexW2061423157MaRDI QIDQ5315845
Yoshihiro Ônishi, Shigeki Matsutani
Publication date: 9 September 2005
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9808099
Nonlinear boundary value problems for linear elliptic equations (35J65) Moduli problems for differential geometric structures (58D27) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)
Related Items
Perfect phase-coded pulse trains generated by Talbot effect ⋮ On the Hausdorff dimension of Riemann’s non-differentiable function ⋮ Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica ⋮ Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two ⋮ From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials ⋮ An algebro-geometric model for the shape of supercoiled DNA
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica
- Orientation and string structures on loop space
- Loop groups and equations of KdV type
- The spectrum of Hill's equation
- Statistical mechanics of non-stretching elastica in three-dimensional space
- Poisson geometry of the filament equation
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker's study on hyperelliptic sigma functions
- PHYSICAL REALIZATION OF THE JIMBO-MIWA THEORY OF THE MODIFIED KORTEWEG-DE VRIES EQUATION ON A THIN ELASTIC ROD: FERMIONIC THEORY
- The influence of elasticity on analysis: The classic heritage
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
- Statistical mechanics of elastica on a plane: origin of the MKdV hierarchy
- On density of state of quantized Willmore surface - a way to a quantized extrinsic string in
- IMMERSION ANOMALY OF DIRAC OPERATOR ON SURFACE IN ℝ3
- Hyperelliptic solutions of modified Korteweg-de Vries equation of genus g: essentials of the Miura transformation
- Commutative ordinary differential operators. II.—The identity P n = Q m
- The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
- DIRAC OPERATOR ON A CONFORMAL SURFACE IMMERSED IN ℝ4: A WAY TO FURTHER GENERALIZED WEIERSTRASS EQUATION
- Induced Surfaces and Their Integrable Dynamics