6,482 research outputs found
Instability of the solitary waves for the generalized Boussinesq equations
In this work, we consider the following generalized Boussinesq equation
\begin{align*}
\partial_{t}^2u-\partial_{x}^2u+\partial_{x}^2(\partial_{x}^2u+|u|^{p}u)=0,\qquad
(t,x)\in\mathbb R\times \mathbb R, \end{align*} with . This
equation has the traveling wave solutions , with the
frequency and satisfying \begin{align*}
-\partial_{xx}{\phi}_{\omega}+(1-{\omega^2}){\phi}_{\omega}-{\phi}_{\omega}^{p+1}=0.
\end{align*} Bona and Sachs (1988) proved that the traveling wave
is orbitally stable when . Liu (1993) proved the orbital instability under the conditions
or . In this paper, we prove
the orbital instability in the degenerate case .Comment: 29 page
Effects of Rashba spin-orbit coupling and a magnetic field on a polygonal quantum ring
Using standard quantum network method, we analytically investigate the effect
of Rashba spin-orbit coupling (RSOC) and a magnetic field on the spin transport
properties of a polygonal quantum ring. Using Landauer-Buttiker formula, we
have found that the polarization direction and phase of transmitted electrons
can be controlled by both the magnetic field and RSOC. A device to generate a
spin-polarized conductance in a polygon with an arbitrary number of sides is
discussed. This device would permit precise control of spin and selectively
provide spin filtering for either spin up or spin down simply by interchanging
the source and drain
Reducing the Tension Between the BICEP2 and the Planck Measurements: A Complete Exploration of the Parameter Space
A large inflationary tensor-to-scalar ratio is reported by the BICEP2 team based on their B-mode
polarization detection, which is outside of the confidence level of the
Planck best fit model. We explore several possible ways to reduce the tension
between the two by considering a model in which ,
, and the neutrino parameters and
are set as free parameters. Using the Markov Chain
Monte Carlo (MCMC) technique to survey the complete parameter space with and
without the BICEP2 data, we find that the resulting constraints on
are consistent with each other and the apparent tension
seems to be relaxed. Further detailed investigations on those fittings suggest
that probably plays the most important role in reducing the
tension. We also find that the results obtained from fitting without adopting
the consistency relation do not deviate much from the consistency relation.
With available Planck, WMAP, BICEP2 and BAO datasets all together, we obtain
, ,
, and
; if the consistency relation is
adopted, we get .Comment: 8 pages, 4 figures, submitted to PL
Research on Influence Factors of the Internet Financial Product Consumption Based on Innovation Diffusion Theory
This article takes the personal characteristic as a point of penetration,through a literature review, put forwards three antecedents factors,that are personal innovation, product cognition and perceived risk, focusing on the relationship among the there factors,the conceptual model was tested by structural equation model .The findings are that all of the above three aspects influence the choice of the Internet financial products. They also mutual influence between the three, personal innovation has a positive impact on product cognition and gives a negative impact on perceived risk, at the same time, product cognition affects the perceived risk negatively
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