Euler-Poincaré flows and Leibniz structure of nonlinear reaction-diffusion type systems
DOI10.1016/j.geomphys.2005.10.002zbMath1097.58005OpenAlexW2039707675WikidataQ123014576 ScholiaQ123014576MaRDI QIDQ2496767
Publication date: 20 July 2006
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2005.10.002
Bott-Virasoro groupFisher equationFitzhugh-Nagumo equationLie pseudogroupLeibniz bracket(extended) Burgers-Huxley equationKirillov's local algebra
KdV equations (Korteweg-de Vries equations) (35Q53) Poisson manifolds; Poisson groupoids and algebroids (53D17) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics on Leibniz manifolds
- A paradigm for joined Hamiltonian and dissipative systems
- Normal forms and versal deformations for Hill's equation
- Multidimensional nonlinear diffusion arising in population genetics
- Mathematical physiology
- Persistence of travelling wave solutions of a fourth order diffusion system
- Geometry of the Kaup-Newell equation
- Projective and affine connections on \(S^{1}\) and integrable systems.
- The Euler-Poincaré equations and double bracket dissipation
- What kinds of dynamics are there? Lie pseudogroups, dynamical systems and geometric integration
- Painleve analysis of the generalized Burgers-Huxley equation
- On Equations Which Describe Pseudospherical Surfaces
- On equations of type u x t=F(u,u x) which describe pseudospherical surfaces
- ON ANTIPLECTIIC PAIRS IN THE HAMILITONIAN FORMALISM OF EVOLUTION EQUATIONS
- On the antiplectic pair connected with the Adler-Gel'fand-Dikii bracket
- Conformal Hamiltonian systems
This page was built for publication: Euler-Poincaré flows and Leibniz structure of nonlinear reaction-diffusion type systems
