In this case, we say that this system has abi-Hamiltonian representation.#Integrable top-like systems are usually bi-Hamiltonian with respect to two compatible linear Poisson brackets. The corresponding algebraic object is a pair of compatible Lie algebras (see Section 3.1)....
S. Ranch- Wojciechowski.New Restricted Flows of the KdV Hierarchy and Their Bi- hamltonianStructure. Physics Letters A . 1991New restricted flows of the KdV hierarchy and their bihamiltonian structure - Rauch-Wojciechowski - 1991 () Citation Context ...nd to elucidate the classical r-matrix ...
In this paper, we present the multi-component Novikov equation and derive it''s bi-Hamiltonian structure.doi:10.1080/14029251.2014.975522Li, HongminLi, YuqiChen, YongTaylor & Francis GroupJournal of Nonlinear Mathematical PhysicsLi H.M., Li Y.Q. and Chen Yong, Bi-Hamiltonian structure of ...
admits a bi-Hamiltonian structure (b) it is supersymmetric (c) it arises geometrically as an Euler equation for geodesic flow. (a) One characteristic feature of integrable systems is the presence of two distinct, but compatible, Hamiltonian formulations. However, while this is usually con- sid...
We study non-linear integrable partial differential equations naturally arising as bi-Hamiltonian Euler equations related to the looped cotangent Virasoro algebra. This infinite-dimensional Lie algebra (constructed in [Ovsienko and Roger, Commun. Math. Phys. 273: 357–378, 2007]) is a generalization...
is a bi-Hamiltonian hierarchy on M, that is, P 2 dH j = P 1 dH j+1 for all j. In other words, H(λ) = j∈Z H j λ −j is a (formal) Casimir of the Poisson pencil P 2 −λP 1 . The bi-Hamiltonian vector fields associated with the hierarchy can be reduced on ...
Strachan, I.A.B.: Frobenius manifolds: natural submanifolds and induced bi-Hamiltonian structures. Diff. Geom. Appl. 20, 67-99 (2004)I.A.B Strachan, Frobenius manifolds: natural submanifolds and induced bi- Hamiltonian structures, Differential Geom. Appl. 20 (2004), no. 1, 67-99....
释义: 全部 更多例句筛选 1. New Lax Integrable Hierarchy of Evolution Equations and Its Infinite-Dimensional Bi-Hamiltonian Structure 新的Lax可积发展方程族及其无限维双-哈密顿结构 www.ilib.cn 2. A New Integrable System and Its Bi-Hamiltonian Structure 一族新的可积系及其双哈密顿结构 www.ilib.cn...
A powerful tool of the trace identity is used to establish the bi-Hamiltonian structure for the whole GI hierarchy. Moreover, it is shown that GI hierarchy admits an infinite common set of conserved quantities which are in involution in pairs under Poisson's bracket. This indicates that the ...
We study non-linear integrable partial differential equations naturally arising as bi-Hamiltonian Euler equations related to the looped cotangent Virasoro algebra. This infinite-dimensional Lie algebra (constructed in [Ovsienko and Roger, Commun. Math. Phys. 273: 357–378, 2007]) is a generalization...