Algebro-geometric solutions for the Hunter-Saxton hierarchy
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Publication:743541
DOI10.1007/s00033-013-0339-8zbMath1300.35125OpenAlexW3101877824MaRDI QIDQ743541
Publication date: 25 September 2014
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-013-0339-8
hyperelliptic curvealgebro-geometric solutionsalgebro-geometric initial value problemHunter-Saxton hierarchy
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
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Cites Work
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- Completely integrable Hamiltonian systems associated with matrix operators and abelian varieties
- Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations
- On a Whitham-type equation
- Lipschitz metric for the Hunter-Saxton equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- On a completely integrable nonlinear hyperbolic variational equation
- Algebro-geometric solutions of the Camassa-Holm hierarchy
- Euler equations on homogeneous spaces and Virasoro orbits
- On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits
- Matrix finite-zone operators
- The Hunter-Saxton equation describes the geodesic flow on a sphere
- Weak geodesic flow and global solutions of the Hunter-Saxton equation
- Wave solutions of evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized Jacobians
- Algebraic geometrical solutions for certain evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized Jacobians
- Algebro-geometric Solutions for the Degasperis--Procesi Hierarchy
- Inverse scattering solutions of the hunter-saxton equation
- Theta functions and non-linear equations
- Dynamics of Director Fields
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- Nonlinear Dispersion and Compact Structures
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- Global Solutions of the Hunter--Saxton Equation
- Real-valued algebro-geometric solutions of the Camassa–Holm hierarchy
- The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE's of shallow water and Dym type
