hamiltonian form 
A new discrete isospectral problem is introduced, from which the coupled discrete KdV hierarchy is deduced and is written in its Hamiltonian form by means of the trace identity.


Obstacle to the reduction of nonholonomic systems to the Hamiltonian form


The MaxwellBloch equations are rewritten in Hamiltonian form without redefining the spatial and temporal variables.


A Hamiltonian form of the MaxwellBloch equation is found without redefining the spatiotemporal variables.


A threedimensional equation of motion in the Hamiltonian form is derived.


The equations of dynamics of eddywave disturbances of twodimensional stratified flows in an ideal incompressible fluid that are written in a Hamiltonian form are used to study the resonant interaction of waves of discrete and continuous spectra.


We consider generalizations of the standard Hamiltonian dynamics to complex dynamical variables and introduce the notions of real Hamiltonian form in analogy with the notion of real forms for a simple Lie algebra.


Transformations to replace the Galilean ones are obtained, the quasiparticle mechanics in a Hamiltonian form is deduced, and a Boltzmanntype transport equation (valid in the whole Brillouin zone) is derived.


In each case the relevant Hamiltonian form is established by making use of the trace identity.


Hamiltonian Form of the Maxwell Equations and Its Generalized Solutions


The case is considered that parts tv of the Hamiltonian form the observation level; it leads to systems with several temperatures.


The pair can also be written in biHamiltonian form giving rise to an infinite hierarchy of coupled equations each of which is a Hamiltonian system.


Phenomenological field equations that describe isothermal chemical kinetics are cast into Hamiltonian form.


The method relies on the development of an orthogonal, symplectic change of variables to block triangular Hamiltonian form.


Quantum mechanics is cast into a classical Hamiltonian form in terms of a symplectic structure, not on the Hilbert space of statevectors but on the more physically relevant infinitedimensional manifold of instantaneous pure states.


We study partial differential equations of hamiltonian form and treat them as infinitedimensional hamiltonian systems in a functional phasespace ofxdependent functions.


We produce explicit solutions for some cases of the cohomogeneity one Einstein equations by finding generalised first integrals of the Hamiltonian form of these equations.


Using ideas from convex geometry, we prove a classification theorem, under suitable hypotheses, for superpotentials of the Hamiltonian form of the cohomogeneity one Ricciflat equations.


The Itheorem for a system with known effective "Hamiltonian" and a system whose "Hamiltonian" form is not defined is proved.


On the other hand one can then proceed to give the Hamiltonian form up to the same order.

