Algebro-geometric solutions for the two-component Hunter-Saxton hierarchy

DOI10.1080/14029251.2014.975520zbMath1420.37065arXiv1406.6359OpenAlexW2017386143MaRDI QIDQ5230960

Yu Hou, En-gui Fan

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6359

zbMATH Keywords

hyperelliptic curveBaker-Akhiezer functiontrace formulasalgebro-geometric solutions

Mathematics Subject Classification ID

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) Differential geometry of symmetric spaces (53C35)

Cites Work

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• Completely integrable Hamiltonian systems associated with matrix operators and abelian varieties
• On an integrable two-component Camassa-Holm shallow water system
• Algebro-geometric solutions for the Hunter-Saxton hierarchy
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• On the Hunter-Saxton system
• On a completely integrable nonlinear hyperbolic variational equation
• Algebro-geometric solutions of the Camassa-Holm hierarchy
• Euler equations on homogeneous spaces and Virasoro orbits
• Global existence for the generalized two-component Hunter-Saxton system
• Matrix finite-zone operators
• A two-component generalization of the Camassa-Holm equation and its solutions
• The Hunter-Saxton equation describes the geodesic flow on a sphere
• Weak geodesic flow and global solutions of the Hunter-Saxton equation
• Well-posedness and blow-up phenomena for the 2-component Camassa-Holm 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
• Global weak solutions and smooth solutions for a two-component Hunter-Saxton system
• Global weak solutions for a periodic two-component Hunter-Saxton system
• Inverse scattering solutions of the hunter-saxton equation
• Theta functions and non-linear equations
• Stability of Solitary Waves and Wave-Breaking Phenomena for the Two-Component Camassa-Holm System
• 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
• On the geometric approach to the motion of inertial mechanical systems
• Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation
• An integrable shallow water equation with peaked solitons
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• The Gurevich–Zybin system
• Geometric Integrability of Two-Component Camassa—Holm and Hunter—Saxton Systems
• 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

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