The purpose of this work is to seek various innovative exact solutions using the new
Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This …

The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations
model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features …

For uni-directional wave transmission in the smooth bottom of shallow sea water and the
superconductivity of nonlinear media with dispersion systems, the (1+ 1)-dimensional …

The perturbed nonlinear Schrödinger equation is used frequently to simulate ultra-short
pulse lasers, nonlinear optics, optical communication systems, plasmas and other areas of …

In this article, we examine the unstable non-linear Shrödinger (NLS) dynamical models
analytically by utilizing the tow variabke (G′/G)-expansion approach. The unstable NLS …

Abstract We focus on the (3+ 1)-dimensional generalized breaking soliton (GBS) equation,
which describes a Riemann wave propagating along three spatial dimensions. The …

The generalized Riccati equation map** method (GREMM) is used in this paper to obtain
different types of soliton solutions for nonlinear Schrödinger equation with higher dimension …

Lump solutions are a prominent option for numerous models of nonlinear evolution. The
intention of this research is to explore the variable coefficients Kadomtsev–Petviashvili …

In this paper, we examine the solitary wave solutions of the generalised (2+ 1) extended
Kadomtsev–Petviashvili (eKP) equation, which is used as model for the surface waves and …

The space–time fractional Fokas–Lenells (STFFL) equation serves as a fundamental
mathematical model employed in telecommunications and transmission technology …