The Mixed Kuper-Camassa-Holm-Hunter-Saxton Equations

DOI10.1080/14029251.2018.1452668zbMath1411.37059OpenAlexW2789265521MaRDI QIDQ5743516

Ling Zhang, Bei-Bei Hu

Publication date: 10 May 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2018.1452668

zbMATH Keywords

Hamiltonian structureLax pairNeveu-Schwarz superalgebramixed Kuper-CH-HS equation

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) Soliton equations (35Q51)

Cites Work

• Euler equations related to the generalized Neveu-Schwarz algebra
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• Two supersymmetric hierarchies related to the super-HS spectral problem
• Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
• A bi-Hamiltonian supersymmetric geodesic equation
• Korteweg - de Vries suoerequation as an Euler equation
• On the inverse spectral problem for the Camassa-Holm equation
• Special issue on the occasion of the 50th volume
• Euler equations on homogeneous spaces and Virasoro orbits
• Algebraic structure of the operator related to stationary systems
• On the scattering problem for the Camassa-Holm equation
• The supersymmetric Camassa–Holm equation and geodesic flow on the superconformal group
• A Super Generalization of KdV6 Equation
• Inverse scattering transform for the Camassa–Holm equation
• Mixed hierarchy of soliton equations
• Dynamics of Director Fields
• Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
• An integrable shallow water equation with peaked solitons
• The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
• An approach to generate superextensions of integrable systems
• Integrable hierarchies related to the Kuper-CH spectral problem
• Geometric Differences between the Burgers and the Camassa-Holm Equations

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