A new class of Euler equation on the dual of the N = 1 extended Neveu-Schwarz algebra

DOI10.1063/1.5051755zbMath1403.37074OpenAlexW2900556126MaRDI QIDQ4561718

Yanyan Ge, Dafeng Zuo

Publication date: 12 December 2018

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

Full work available at URL: https://doi.org/10.1063/1.5051755

zbMATH Keywords

Hunter-Saxton equationNeveu-Schwarz algebraWhitham-Broer-Kaup water-wave system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70) Euler equations (35Q31)

Related Items (3)

Super Camassa–Holm-type systems associated to the Kuper–Ramond–Schwarz superalgebra ⋮ Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions ⋮ Supersymmetric Euler equations associated to the N ≤ 3 Neveu-Schwarz algebra

Cites Work

• Unnamed Item
• Euler equations related to the generalized Neveu-Schwarz algebra
• The Frobenius-Virasoro algebra and Euler equations
• Super-extensions of energy dependent Schrödinger operators
• 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
• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• Extension of the Virasoro and Neveu-Schwarz algebras and generalized Sturm-Liouville operators
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• Topological methods in hydrodynamics
• The Frobenius-Virasoro algebra and Euler equations. II: Multi-component cases
• Super long waves
• Euler equations on homogeneous spaces and Virasoro orbits
• Geodesic flow and two (super) component analog of the Camassa-Holm equation
• Mathematics of dispersive water waves
• A Higher-Order Water-Wave Equation and the Method for Solving It
• The supersymmetric Camassa–Holm equation and geodesic flow on the superconformal group
• Novikov Algebras and a Classification of Multicomponent Camassa-Holm Equations
• 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
• Approximate equations for long water waves
• Supersymmetric extensions of the Harry Dym hierarchy
• Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations
• Variational methods and applications to water waves

This page was built for publication: A new class of Euler equation on the dual of the N = 1 extended Neveu-Schwarz algebra