Three-dimensional Curve Motions Induced by the Modified Korteweg-de Vries Equation

We have constructed one-phase quasi-periodic solutions of the curve equation induced by the mKdV equation. The solution is expressed in terms of the elliptic functions of Weierstrass. This solution can describe curve dynamics such as a vortex filament with axial velocity embedded in an incompressible inviscid fluid. There exist two types of curves (type-A, type-B) according to the form of the main spectra of the finite-band integrated solution. Our solution includes various filament shapes such as the Kelvin-type wave, the rigid vortex, plane curves, closed curves, and the Hasimoto one-solitonic filament.Comment: 26 pages, 4 figure

Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace

We investigate the theory of the bosonic-fermionic noncommutativity, $[x^{\mu},\theta^{\alpha}] = i \lambda^{\mu \alpha}$, and the Wess-Zumino model deformed by the noncommutativity. Such noncommutativity links well-known space-time noncommutativity to superspace non-anticommutativity. The deformation has the nilpotency. We can explicitly evaluate noncommutative effect in terms of new interactions between component fields. The interaction terms that have Grassmann couplings are induced. The noncommutativity does completely break full $\mathcal{N}=1$ supersymmetry to $\mathcal{N} = 0$ theory in Minkowski signature. Similar to the space-time noncommutativity, this theory has higher derivative terms and becomes non-local theory. However this non-locality is milder than the space-time noncommutative field theory. Due to the nilpotent feature of the coupling constants, we find that there are only finite number of Feynman diagrams that give noncommutative corrections at each loop order.Comment: Latex, 16 pages, 2 figures, typos corrected, some references and comments on auxiliary field added, a figure replaced, English refine

Country Image, Perceived Product Quality and Purchase Intention: the Moderating Roles of Quality Warranty Certificate and Country-Image Transferred Strategies

This article aims at researching on the relationship of country image and customer perception on product quality and purchasing intention in South Korean. Additionally, the moderating roles of product quality warranty and country image transferred strategies are also taken into investigation in this empirical research. In order to make a research on these areas, questionnaire forms were distributed by emails and sending hard copies to 350 target samples in South Korea including Koreans and foreigners who have been living in South Korea and 215 forms were returned back and analyzed by SPSS v.21. The results indicated that gender, age groups and nationalities can significantly influence consumers' perception on the relationship country image and product quality. Surprisingly, the image of origin country produced products does not really affect consumers' perceived product quality, but the image of manufacturing country has a strong and significant influence on consumers' perception in terms of product quality. More interestingly, country image transferred strategy is ineffective in altering consumers' psychological perceptions on country image and perceived product quality. Apart from this, product quality warranty is still workable for boosting consumers' confidence in consuming products in Korean context. Even though this empirical research was considerably and carefully implemented, there are still some significant limitations in practice. The limitations and suggestion are finally introduced and explained