Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

The present manuscript employed a rare approach to tackle a vector-coupled system of
Chen-Lee-Liu Equation (CLLE). This approach was based on the combination of the …

In the present work, the influence of self-steepening (SS), self-frequency shift (SFS) and
delayed Raman scattering (DRS) on the dynamics of solitons in a dissipative system in the …

The collective variable (CV) method is an important technique that deals with both
conservative and non-conservative systems by revealing set of equations of motion …

In this article, the collective variable method to study two types of the Chen–Lee–Liu (CLL)
equations, is employed. The CLL equation, which is also the second member of the …

Pulsating soliton solutions bifurcation analysis of the two-dimensional (2D) Complex Swift-
Hohenberg equation (CSHE) is presented. The approach is based on a reduction from an …

In this paper, we performed an investigation of the dissipative solitons of the two-
dimensional (2D) Complex Swift-Hohenberg equation (CSHE). Stationary to pulsating …

Dissipative light bullets can be considered as (3+ 1) D spatiotemporal dynamics of stable
optical solitons in the three spatial dimensions, in addition to localization in the temporal …

Dissipative soliton resonance (DSR) is a phenomenon where the energy of a soliton in a
dissipative system increases without limit at certain values of the system parameters. Using …

A mathematical analysis is conducted to illustrate the controllability of the Raman soliton self-
frequency shift with polynomial nonlinearity in metamaterials by using collective variable …