In this paper, we study the influence of second neighbors interactions on a one-dimensional
nonlinear electrical transmission line. Using the reductive perturbation method in the semi …

Studies of the lattice systems are of current interest due to their applications in relativity,
optics, condensed matter physics and plasma physics. In this paper, we look into a hybrid …

It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …

Abstract The complex Ginzburg-Landau equation is considered. It is shown that there are
three conservation laws corresponding to this equation. These conservation laws are found …

Abstract The complex Ginzburg-Landau equation with anti-cubic nonlinearity is considered.
Using a modification of the simplest equation method for finding exact solutions of nonlinear …

Much of the qualitative nature of physical systems can be predicted from the way it scales
with system size. Contrary to the continuum expectation, we observe a profound deviation …

Resonances in an electric circuit occur when capacitive and inductive components are
present together. Such resonances appear in admittance measurements depending on the …

A cubic–quintic complex Ginzburg–Landau equation that describes the dynamics of the field
in passively mode-locked lasers is considered. For passively mode-locked lasers with …

Transmission models are dominated by lumped models, which merely describe the time
dependence of transmission potentials (temperature, current and voltage). The space …

This work focuses on extracting exact physical wave solutions to the partial differential
equation with conformable derivative governing the propagation dynamics of modulated …