The aim of this article is to investigate the time fractional coupled nonlinear Schrödinger
equation (TFCNLSE) which can be used to describe the interaction among the modes in …

The ultimate focus of this research is to provide soliton solutions to the nonlinear differential-
difference equations via conformable fractional derivatives which arise from the polarization …

This paper investigates the evolution dynamics of closed-form solutions for a new integrable
nonlinear fifth-order equation with spatial and temporal dispersion which describes shallow …

In present paper, we solve fractional advection‐dispersion equation (ADE) using Jacobi
collocation method. This equation appears in the transport of solutes in ground water and …

In this study, the authors solved the (2+ 1)-dimensional fractional Date-Jimbo-Kashiwara-
Miwa equation for nonlinear dispersive waves in an inhomogeneous medium, which is an …

Nonlinear evolution equations (NLEEs) are frequently employed to determine the
fundamental principles of natural phenomena. Nonlinear equations are studied extensively …

A coupled space-time fractional nonlinear Schrödinger equation is solved by the fractional
Riccati method and fractional dual-function method. By choosing the appropriate values of …

This endeavour provides a new instance of understanding the velocity of a particle in
Brownian motion, using the Fokker-Plank equation. Our treatment is based on the new …

Abstract The Kadomtsev–Petviashvili (KP) equation is widely used to model nonlinear wave
phenomena occurring in plasmas and fluids, such as water waves with weak nonlinear …

Fluids are studied in such disciplines as atmospheric science, oceanography and
astrophysics. In this paper, we investigate a (3+ 1)-dimensional Korteweg–de Vries equation …