We study the scattering of the φ 8 kinks off each other, namely, we consider those φ 8 kinks
that have power-law asymptotics. The slow power-law fall-off leads to a long-range …

Collective variables method is used to derive a set of differential equations to describe the
dynamics of a kink in the sine-Gordon model with two identical point impurities taking …

The possibilities of formation and detection of the electromagnetic soliton-like wave in
superlattices based on semi-Dirac crystals have been considered. The field of soliton-like …

The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein–
Gordon systems is revisited. The linearized equation describing small deviations around the …

Цель исследования: с помощью аналитических и численных методов рассмотреть
задачу о структуре и динамике связанных локализованных нелинейных волн в модели …

Purpose of this work is to use analytical and numerical methods to consider the problem of
the structure and dynamics of coupled localized nonlinear waves in the sine-Gordon model …

A method is presented for calculating solutions to differential equations analytically for a
variety of problems in physics. An iteration procedure based on the recently proposed …

When a domain wall moves through a magnetic defect region (marked with dashed lines), a
localized nonlinear wave (magnetic breather) is excited. The paper theoretically studies the …

22 AM Gumerov, EG Ekomasov, RV Kudryavtsev, MI Fakhretdinov on the initial kink velocity
has only one maximum. This behavior is observed for the cases of point and extended …

Existence of the soliton solution to the generalized sine–Gordon equation (also known as
the Kryuchkov–Kukhar'equation) is numerically studied. The equation can be used to …