Nonholonomic deformation of coupled and supersymmetric KdV equations and Euler–Poincaré–Suslov method
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Publication:5261025
DOI10.1142/S0129055X15500117zbMath1321.35199MaRDI QIDQ5261025
Publication date: 1 July 2015
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Related Items
Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy, Integrability and Lie symmetry analysis of deformed \(N\)-coupled nonlinear Schrödinger equations, Non-holonomic and quasi-integrable deformations of the AB equations, A Study of Nonholonomic Deformations of Nonlocal Integrable Systems Belonging to the Nonlinear Schrödinger Family, Analysis and comparative study of non-holonomic and quasi-integrable deformations of the nonlinear Schrödinger equation
Cites Work
- Integrable Euler top and nonholonomic Chaplygin ball
- KdV6: an integrable system
- Chaplygin ball over a fixed sphere: an explicit integration
- Integrability of invariant metrics on the diffeomorphism group of the circle
- Integrability of Kupershmidt deformations
- The bi-Hamiltonian structure and new solutions of KdV6 equation
- A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
- Coupled KdV equations with multi-Hamiltonian structures
- Moduli spaces of curves and representation theory
- Korteweg - de Vries suoerequation as an Euler equation
- Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Extension of the Virasoro and Neveu-Schwarz algebras and generalized Sturm-Liouville operators
- Dynamics of the \(n\)-dimensional Suslov problem
- Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces
- Compatible Poisson brackets on Lie algebras
- Euler equations on homogeneous spaces and Virasoro orbits
- Integrability of invariant metrics on the Virasoro group
- Mathematics of dispersive water waves
- Geodesic flows, bi-Hamiltonian structure and coupled KdV type systems
- Geometry and integrability of Euler-Poincaré-Suslov equations
- The Poisson equations in the nonholonomic Suslov problem: integrability, meromorphic and hypergeometric solutions
- Supersymmetric extension of the Korteweg–de Vries equation
- A new N=2 supersymmetric Korteweg–de Vries equation
- A simple model of the integrable Hamiltonian equation
- Generalizations of classical integrable nonholonomic rigid body systems
- Hamiltonian equations in R3
- Non-holonomic geodesic flows on Lie groups and the integrable Suslov problem onSO(4)
- The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems
- Euler-Poincaré Formalism of Coupled KdV Type Systems and Diffeomorphism Group on S1
- Introduction to the Foundations of Applied Mathematics
- BILINEARIZATION AND SOLUTIONS OF THE KdV6 EQUATION
- Integrable geodesic flows on the (super)extension of the Bott-Virasoro group