On closed finite gap curves in spaceforms. I
DOI10.3842/SIGMA.2020.011zbMath1475.53025arXiv1801.07032MaRDI QIDQ2307673
Martin Kilian, Sebastian Klein
Publication date: 25 March 2020
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.07032
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Semisimple Lie groups and their representations (22E46) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Special classes of entire functions of one complex variable and growth estimates (30D15)
Cites Work
- Birkhoff coordinates for the focusing NLS equation
- Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations
- Recursion in curve geometry
- An elementary geometric characterization of the integrable motions of a curve
- Curve motion inducing modified Korteweg-de Vries systems
- A spectral theory for simply periodic solutions of the Sinh-Gordon equation
- Spectral data for simply periodic solutions of the sinh-Gordon equation
- Finite-gap solutions of the vortex filament equation: isoperiodic deformations
- Finite-gap solutions of the vortex filament equation: genus one solutions and symmetric solutions
- Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
- Classical Fourier Analysis
- THE PERIODIC KORTEWEG-de VRIES PROBLEM
- The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
- Integrable systems and Riemann surfaces of infinite genus
- On closed finite gap curves in spaceforms II
- The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes
- A soliton on a vortex filament
- Approximation theorem for the self-focusing nonlinear Schrödinger equation and for the periodic curves in \(\mathbb{R}^3\)
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On closed finite gap curves in spaceforms. I
