An extension of the classic Enneper–Weierstrass representation for conformally pa-rametrised surfaces in multi-dimensional spaces is presented. This is based on low dimensional CP 1 and CP 2 sigma models which allow the study of the constant mean curvature (CMC) surfaces immersed into Euclidean 3-and 8-dimensional spaces, respectively. Relations of Weierstrass type systems to the equations of t...

Although a free unilamellar vesicle has zero or almost zero genuine surface tension, the multilamellar vesicle ("onion") exhibits a nonzero effective surface tension sigma(eff). The expression for sigma(eff) used in the literature is sigma(eff) approximately square root of kappaB/d(0), where B is the interaction modulus between the vesicle bilayers, d(0) the repeating distance between the bilay...

It is usual to assume that a displacement caused at any point in structure linearly dependent on the magnitude of loads applied. This paper focuses linear analysis 2-D frames with flexural connected beam-column members considering shear displacements. A computer program was written MATLAB for this purpose. To achieve above purpose, first, element stiffness matrix springs its ends has been obtai...

A (linear) stability analysis of planar reaction fronts to transverse perturbations is considered for systems based on cubic autocatalysis and a model for the chlorite-tetrathionate reaction. Dispersion curves (plots of the growth rate sigma against a transverse wave-number k) are obtained. In both cases it is seen that there is a nonzero value D0 of D (the ratio of the diffusion coefficients o...

In this paper, we construct the first analytic examples of (3+1)-dimensional self-gravitating regular cosmic tube solutions which are superconducting, free curvature singularities and with non-trivial topological charge in Einstein-SU(2) non-linear sigma-model. These gravitating solitons at a large distance from axis look like (boosted) string an angular defect given by parameters theory, near ...

Starting from the most general harmonic superspace action of self-interacting Q+ hypermultiplets in the background of N = 2 conformal supergravity, we derive the general action for the bosonic sigma model with a generic 4n dimensional quaternionic-Kähler (QK) manifold as the target space. The action is determined by the analytic harmonic QK potential and supplies an efficient systematic procedu...