In the literature, although many methods depend on the ansatz solution, there is not any
specific rule to determine the degree of the ansatz ie balancing principle. The problem is …

Nonlinear waves that collide with localized defects exhibit complex behavior. Apart from
reflection, transmission, and annihilation of an incident wave, a local inhomogeneity can …

Features of the dynamics of topological defects in an electroconvective structure formed in a
π/2-twisted nematic liquid crystal have been studied. The electroconvective structure …

Abstract The Klein–Gordon equation plays an important role in mathematical physics, such
as plasma and, condensed matter physics. Exploring its exact solution helps us understand …

Nonlinear wave propagation plays a crucial role in the functioning of many physical and
biophysical systems. In the propagation regime, disturbances due to the presence of local …

The existence of long-lived (t∼ 1000) stable spherically symmetric solutions in the form of
pulsons has been numerically revealed for a certain class of Klein-Gordon equations. Their …

Abstract Certain nonlinear scalar Klein–Gordon equations have been specified for which the
existence of long-lived (t~ 1000) stable spherically symmetric solutions in the form of …

Изучаются особенности динамики топологических дефектов в электроконвективной
структуре, возникающей в закрученном на $\pi/2$ нематическом жидком кристалле …

In this letter, 2D cubic-quintic Ginzburg-Landau equation with diffractive-diffusive terms and
normal dispersion is considered, exact solutions including solitary wave solutions, kink wave …

Изучаются особенности динамики топологических дефектов в электроконвективной
структуре, возникающей в закрученном на п/2 нематическом жидком кристалле …