We study the interaction of an optical vortex soliton with a dark-soliton stripe in a bulk nonlinear defocusing medium. We develop a multiscale asymptotic theory to predict the main effect of the interaction and then study it experimentally, observing vortex-induced stripe bending, development of the transverse instability, and stripe breakup.

In the present research, data extracted from the stress analysis of 46 finite element models, verified using test results obtained from an experimental investigation, were used to study the effect of geometrical parameters on the chord-side stress concentration factors (SCFs) of central and outer braces in uniplanar tubular KT-joints of offshore structures subjected to four different types of i...

(RCS) frames which are systems that dwell of concrete columns and steel beams , by optimizing the act of compressive strength of concrete and bending strength of steel due to not only a decrease in building weight in comparison to concrete structures but also having a better action in long spans frames . In this paper for analysis RCS behavior, a category of nonlinear Push Over analyses were ...

Koiter’s shell model is derived systematically from nonlinear elasticity theory, and shown to furnish the leading-order model for small thickness when the bending and stretching energies are of the same order of magnitude. An extension of Koiter’s model to finite midsurface strain emerges when stretching effects are dominant.

A new kind of optical bistability is discussed that is based on mutual self-action of light beams in a nonlinear medium. In particular, fundamentally new devices are proposed that use two counterpropagating incident beams and no reflection feedback. Self-focusing (or self-defocusing) and self-bending provide bistability with positive or negative nonlinearity.

Simple models of the vibrational dynamics of HOOH and CH3OOCH3 are investigated by classical trajectory methods. Nonlinear resonances due to kinematic coupling between the torsional motion and symmetric bond bending are found to have significant dynamical effects in some cases. The timescales and magnitudes of these energy transfer processes are examined.

We study linear and nonlinear self-accelerating beams propagating along circular trajectories beyond the paraxial approximation. Such nonparaxial accelerating beams are exact solutions of the Helmholtz equation, preserving their shapes during propagation even under nonlinearity. We generate experimentally and observe directly these large-angle bending beams in colloidal suspensions of polystyre...

We apply the Bogomol’nyi technique, which is usually invoked in the study of solitons or models with topological invariants, to the case of elastic energy of vesicles. We show that spontaneous bending contribution caused by any deformation from metastable bending shapes falls in two distinct topological sets: shapes of spherical topology and shapes of non-spherical topology experience respectiv...