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

Investigations on nonlinear optics are active, with the applications in the modulators, fiber
lasers, optical sensors, etc. In this paper, we focus our attention on a system for the ultra …

This study investigates the dynamical attitude of a nonlinear elastic circular rod's longitudinal
oscillation with lateral inertia and finite radius. This model was derived in 1986 by Wei and …

This paper studies the optical soliton wave solutions of the fractional complex paraxial wave
dynamical (FPWD) model with Kerr media. This model investigates the frequency of the …

In this work, three models of the nonlinear Schrödinger equation are looked at to see if
traveling wave solutions have unique structures.“The generalized Korteweg–de Vries,(2+ 1) …

We consider coupled dimensionless Gross-Pitaevskii (GP) equations that describes effective
coherently coupled Bose–Einstein condensates (BECs) trapped in external complex …

A cubic-quintic inhomogeneous nonautonomous nonlinear Schrödinger (NLS) equation with
an external trap, self-steepening, and self-frequency shift that models the transmission of …

The direct influence of the integrability requirement on mixed derivative nonlinear
Schrödinger equations is investigated in this paper. A. Rangwala mathematically formalized …

In this article, we discuss the findings of new developments in a class of new triangular
functions that blend the quantity functions of the traditional triangular. Considering the …

A coupled cubic nonlinear Schrödinger (NLS) equations with external potentials in normal
dispersion regimes is considered. Combining the phase engineering technique with a …