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 …

In this research, we study traveling wave solutions to the fractional extended nonlinear
SchrÖdinger equation (NLSE), and the effects of the third-order dispersion parameter. This …

The motive of the study was to explore the nonlinear Riemann wave equation, which
describes the tsunami and tidal waves in the sea and homogeneous and stationary media …

The main objective of the present paper is to investigate the dynamics of soliton waves in a
generalized nonlinear Schrödinger (GNLS) equation. To achieve such a goal, the real and …

Abstract The (3+ 1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-
Kuznetsov equations have a significant impact in modern science for their widespread …

Finding optical soliton solutions to nonlinear partial differential equations has become a
popular topic in recent decades. The primary goal of this study is to identify a diverse …

In this paper, perturbed Chen–Lee–Liu equation is considered to describe pulse
propagation in optical fibers. Chen–Lee–Liu equation is a derivative form of the nonlinear …

In this paper, we obtain the exact traveling solutions of the M-fractional generalized reaction
Duffing model and density dependent M-fractional diffusion reaction equation by using three …

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 …

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 …