301,657 research outputs found
Representations and classification of traveling wave solutions to Sinh-G{\"o}rdon equation
Two concepts named atom solution and combinatory solution are defined. The
classification of all single traveling wave atom solutions to Sinh-G{\"o}rdon
equation is obtained, and qualitative properties of solutions are discussed. In
particular, we point out that some qualitative properties derived intuitively
from dynamic system method aren't true. In final, we prove that our solutions
to Sinh-G{\"o}rdon equation include all solutions obtained in the paper[Fu Z T
et al, Commu. in Theor. Phys.(Beijing) 2006 45 55]. Through an example, we show
how to give some new identities on Jacobian elliptic functions.Comment: 12 pages. accepted by Communications in theoretical physics (Beijing
The classification of traveling wave solutions and superposition of multi-solutions to Camassa-Holm equation with dispersion
Under the traveling wave transformation, Camassa-Holm equation with
dispersion is reduced to an integrable ODE whose general solution can be
obtained using the trick of one-parameter group. Furthermore combining complete
discrimination system for polynomial, the classifications of all single
traveling wave solutions to the Camassa-Holm equation with dispersion is
obtained. In particular, an affine subspace structure in the set of the
solutions of the reduced ODE is obtained. More general, an implicit linear
structure in Camassa-Holm equation with dispersion is found. According to the
linear structure, we obtain the superposition of multi-solutions to
Camassa-Holm equation with dispersion
I=2 Pion scattering length with improved actions on anisotropic lattices
scattering length in the I=2 channel is calculated within quenched
approximation using improved gauge and improved Wilson fermion actions on
anisotropic lattices. The results are extrapolated towards the chiral, infinite
volume and continuum limit. This result improves our previous result on the
scattering length. In the chiral, infinite volume and continuum limit, we
obtain , which is consistent with the result from
Chiral Perturbation Theory, the experiment and results from other lattice
calculations.Comment: 7 pages, 2 figures, typeset wit elsart.cl
The nature of the KFR08 stellar stream
The origin of a new kinematically identified metal-poor stellar stream, the
KFR08 stream, has not been established. We present stellar parameters, stellar
ages, and detailed elemental abundances for Na, Mg, Al, Si, Ca, Sc, Ti, Cr, Ni,
Zn, Sr, Y, Zr, Ba, La, and Eu for 16 KFR08 stream members based on analysis of
high resolution spectra. Based on the abundance ratios of 14 elements, we use
the chemical tagging method to identify the stars which have the same chemical
composition, and thus, might have a common birthplace, such as a cluster.
Although three stars were tagged with similar elemental abundances ratios, we
find that, statistically, it is not certain that they originate from a
dissolved star cluster. This conclusion is consistent with the large dispersion
of [Fe/H] () among the 16 stream members. We find
that our stars are enhanced and that the abundance patterns of the
stream members are well matched to the thick disk. In addition, most of the
stream stars have estimated stellar ages larger than 11 Gyr. These results,
together with the hot kinematics of the stream stars, suggest that the KFR08
stream is originated from the thick disk population which was perturbed by a
massive merger in the early universe.Comment: 9 pages, 6 figures, accepted for publication in A&
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