The interactive behaviors between transverse magnetic fields and axial loads of a magnetoelastic ME beam subjected to general boundary conditions are investigated. In particular, the instability criterion for the magneto-mechanical buckling problem is intricately discussed based on the structure characteristics and the initial conditions. The equation of motion for the proposed physical model i...

We analyse the drift of an optical vortex soliton created on a slowly diffracting, finite-extend background field. In the framework of the generalized nonlinear Schrodinger equation we derive the motion equation describing the change of the ̈ vortex velocity induced by local gradients of the phase and intensity of the background field. We present experimental measurements of the motion of a vort...

The nonlinear Schrodinger equation with periodically varying nonlinearity coefficient thatdescribes matter-wave soliton in Bose-Einstein Condensation (BEC) and optical solitons isconsidered analytically. Variational approach is applied on the derived averaged equationwhich describes nonlinearity-managed solitons. A good agreement between analytical solutions obtained by means of variational ana...

We study the existence and stability of solutions of the two-dimensional nonlinear Schrodinger equation in the combined presence of a parabolic and a periodic potential. The motivating physical example consists of Bose-Einstein condensates confined in an harmonic (e.g., magnetic) trap and an optical lattice. By connecting the nonlinear problem with the underlying linear spectrum, we examine the...

Considering the magneto-hydrodynamic equations in a non-relativistic multi uid framework, we study the behavior of small amplitude perturbations in cold quark matter. Magneto-hydrodynamic equations, along with a suitable equation of state for the cold quark matter, are expanded using the reductive perturbation method. It is shown that in small amplitude approximation, such a medium should be co...