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31.
Though various integrable
hierarchies of evolution equations were obtained by choosing
proper U in zero-curvature equation Ut-Vx+[U,V]=0, but in this paper, a new integrable hierarchy possessing
bi-Hamiltonian structure is worked out
by selecting V with spectral potentials.
Then its expanding Lax integrable model of the hierarchy possessing a simple
Hamiltonian operator \widetilde{J} is presented
by constructing a subalgebra
\widetilde{G } of the loop algebra \widetilde A2. As
linear expansions of the above-mentioned integrable hierarchy and
its expanding Lax integrable model with respect to their
dimensional numbers, their (2+1)-dimensional forms are derived
from a (2+1)-dimensional zero-curvature equation. 相似文献
32.
33.
34.
35.
Munshi G. Mustafa 《Pramana》2006,66(4):669-687
We briefly introduce the thermal field theory within imaginary time formalism, the hard thermal loop perturbation theory and
some of its applications to the physics of the quark-gluon plasma, possibly created in relativistic heavy-ion collisions 相似文献
36.
A type of new loop algebra $\tilde{G}_M$ is constructed by making use of
the concept of cycled numbers. As its application, an isospectral problem is
designed and a new multi-component integrable hierarchy with multi-potential
functions is worked out, which can be reduced to the famous KN hierarchy. 相似文献
37.
38.
39.
The dynamics of information traffic over scale-free networks has been investigated systematically. A series of routing strategies
of data packets have been proposed, including the local routing strategy, the next-nearest-neighbour routing strategy, and
the mixed routing strategy based on local static and dynamic information. The capacity of the network can be quantified by
the phase transition from free flow state to congestion state. The optimal parameter values of each model leading to the highest
efficiency of scale-free networked traffic systems have been found. Moreover, we have found hysteretic loop in networked traffic
systems with finite packets delivering ability. Such hysteretic loop indicates the existence of the bi-stable state in the
traffic dynamics over scale-free networks.
相似文献
40.