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 …

We investigate the Fractional Duffing equation in the presence of nonharmonic external
perturbations. We have applied the concept of Geometrical Resonance to this equation. We …

We have proposed theoretically and confirmed numerically the possibility of controlling
chaotic solitons in damped, driven Frenkel-Kontorova chains subjected to additive bounded …

We investigate the dynamics of kink-solitons in generalized Klein–Gordon equations in the
presence of nonlinear damping and spatiotemporal perturbations. We present different …

Readily evaluated nonlinear Lorentzian-type standing wave solutions of ac-driven sine-
Gordon equation are presented, by applying a nonfeedback mechanism for chaos control …

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 …

A general energy-based theory of autoresonance (self-sustained resonance) in low-
dimensional nonautonomous systems is presented. The equations that together govern the …

A new class of periodic solutions of modified complex Ginzburg–Landau equation phase
locked to a time-dependent force, by applying a nonfeedback mechanism for chaos control …

Investiga analítica y numéricamente la posibilidad de tunelaje de solitones topológicos en
sistemas descritos por ecuaciones del tipo Klein-Gordon. Encuentra analíticamente las …

The fully nonlinear notion of resonance− geometrical resonance− in the general context of
dissipative systems subjected to spatially periodic phase-modulated potentials is discussed …