In this study, the nonlinear perturbed Schrödinger equation (NPSE) with nonlinear terms as
quadratic-cubic law nonlinearity media with the beta derivative is investigated and this …

To generate different optical soliton solutions of the Paraxial wave equation with fractional
time dependence, a well-known Sardar-subequation technique is used. The M-truncated …

In this article, some novel results to the hyperbolic local (4+ 1)-dim Boiti-Leon-Manna-
Pempinelli (BLMP) equation signifies the wave propagation over an incompressible fluid. In …

The purpose of this work is the examine the three-waves, double exponential, homoclinic
breather, and periodic cross kink-soliton solutions for a third-order fractional nonlinear …

In this paper, we consider a coupled space-time fractional nonlinear Schrödinger type
equation which can be used for describing nonrelativistic quantum mechanical behavior …

In this study, the third-order fractional nonlinear Schrödinger equation (3-FNLS), which is
crucial in fibre optics, is discussed. The equation models propagation of light in optical fibres …

In this article, the phase portraits, chaotic patterns, and traveling wave solutions of the
conformable extended Korteweg–de-Vries (KdV) model are investigated. First, the conformal …

This paper considers time‐fractional (2+ 1)\left (2+1\right)‐dimensional Wu–Zhang nonlinear
system of partial differential equation describing a long dispersive wave. An approximate …

In this paper, the dynamical behavior and optical soliton of the coupled Kaup–Newell
equation are studied. Firstly, the phase portraits of the coupled Kaup–Newell equation are …

In this research article, a nonlinear time–space fractional order (4+ 1)-dim Fokas wave
equation that is crucial for examining the corporal marvels of waves on and inside the …