Super Camassa–Holm-type systems associated to the Kuper–Ramond–Schwarz superalgebra

DOI10.1063/1.5110589zbMath1457.37092OpenAlexW3089633450MaRDI QIDQ5141101

Yanyan Ge

Publication date: 17 December 2020

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

Full work available at URL: https://doi.org/10.1063/1.5110589

zbMATH Keywords

superintegrable systemsKuper-Ramond-Schwarz superalgebralocal bi-super-Hamiltonian structure

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra

Cites Work

• Euler equations related to the generalized Neveu-Schwarz algebra
• The Frobenius-Virasoro algebra and Euler equations
• Two supersymmetric hierarchies related to the super-HS spectral problem
• Integrability of invariant metrics on the diffeomorphism group of the circle
• On geodesic exponential maps of the Virasoro group
• Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
• A bi-Hamiltonian supersymmetric geodesic equation
• Lie algebras and equations of Korteweg-de Vries type
• Korteweg - de Vries suoerequation as an Euler equation
• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• On the biHamiltonian structure of the supersymmetric KdV hierarchies. A Lie superalgebraic approach
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• Geodesic flow on the diffeomorphism group of the circle
• The Frobenius-Virasoro algebra and Euler equations. II: Multi-component cases
• Euler equations on homogeneous spaces and Virasoro orbits
• Some super systems with local bi-Hamiltonian operators
• A two-component generalization of the Camassa-Holm equation and its solutions
• Geodesic flow and two (super) component analog of the Camassa-Holm equation
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Integral geodesics of a flow on Lie groups
• A Higher-Order Water-Wave Equation and the Method for Solving It
• The supersymmetric Camassa–Holm equation and geodesic flow on the superconformal group
• On a Camassa–Holm type equation with two dependent variables
• Deformations ofN= 2 superconformal algebra and supersymmetric two-component Camassa–Holm equation
• A two-component μ-Hunter–Saxton equation
• The Geometry of Infinite-Dimensional Groups
• GEODESIC FLOW ON EXTENDED BOTT–VIRASORO GROUP AND GENERALIZED TWO-COMPONENT PEAKON TYPE DUAL SYSTEMS
• Supersymmetric extension of the Korteweg–de Vries equation
• Approximate equations for long water waves
• A new class of Euler equation on the dual of the N = 1 extended Neveu-Schwarz algebra
• Supersymmetric extensions of the Harry Dym hierarchy
• Integrable hierarchies related to the Kuper-CH spectral problem
• Variational methods and applications to water waves