Dynamics of sine-Gordon kinks in the presence of rapidly varying periodic perturbations of different physical origins is described analytically and numerically. The analytical approach is based on asymptotic expansions, and it allows to derive, in a rigorous way, an effective nonlinear equation for the slowly varying field component in any order of the asymptotic procedure as expansions in the ...

We study travelling kinks in the spatial discretizations of the nonlinear Klein–Gordon equation, which include the discrete φ lattice and the discrete sine–Gordon lattice. The differential advance-delay equation for travelling kinks is reduced to the normal form, a scalar fourth-order differential equation, near the quadruple zero eigenvalue. We show numerically non-existence of monotonic kinks...

in this paper, a monotone positive solution is studied for buckling of a distributed model of multi walled carbon nanotube (mwcnt) cantilevers in the vicinity of thin and thick graphite sheets subject to intermolecular forces. in the modeling of intermolecular forces, van der waals forces are taken into account. a hybrid nano-scale continuum model based on lennard–jones potential is applied to ...

The relationship between the soliton dynamics provided by the classical sine-Gordon and massive Thirring models is exhibited. Solitons are characterized as classical relativistic particles through the consideration of their associated canonical realizations of the Poincare group. It is shown that the soliton in the massive Thirring model determines two different kinds of relativistic particles ...

In this article, a new solution for the (3+1) dimensions Boiti–Leon–Manna–Pempinelli (BLMP) equation using sine Gordon expansion method and extended tanh function is given. The methods were chosen very carefully due to precision of their solutions. Also, some two- three-dimensional figures contours plots obtained solutions presented. Finally, discussion results was

In this paper, we are concerned with the Cauchy problem and wave-breaking phenomenon for a sine-type modified Camassa-Holm (alias sine-FORQ/mCH) equation. Employing transport equations theory Littlewood-Paley theory, first establish local well-posedness strong solutions of sine-FORQ/mCH equation in Besov spaces. light Moser-type estimates, able to derive blow-up criterion precise quantity Sobol...

field experiments were conducted on an existing subsurface drainage system in roodasht region of esfahan, ian, to test the performance of drain spacing equations for transient flow. the water table profiles recorded from a series of observation wells indicated an essentially flat water surface. the effective hydraulic conductivity and the degree of anisotropy were calculated as 19.2 cm h-1 and ...