In this work, the generalized unstable nonlinear Schrödinger equation is examined, which is
used to predict the temporal evolution of disturbances in marginally stable or unstable …

In this manuscript, the Lie point symmetries, conservation laws, and traveling wave
reductions have all been derived. Also, new forms of soliton solutions of generalized q …

The objective of this manuscript is to examine the non-linear characteristics of the modified
equal width-Burgers equation, known as the generalized Kadomtsive–Petviashvili equation …

This work is devoted to the time fractional differential equations (TFDEs) with the Atangana-
Baleanu-Riemann (ABR) fractional derivative and their analytical solutions. We generalize …

This work aims to explore new bidirectional-wave solutions to the generalized doubly
dispersive equation through the use of two effective integration schemes: the modified …

The article studies the exact traveling wave solutions to the Schrödinger-Poisson system
which has applications in gravity's role of quantum state and approximate the coupling …

This study attempts to investigate the dynamic study of the three-component coupled NLS-
type equations. The unified Riccati equation expansion method and the generalized …

Our aim is to examine the dynamic characteristics of the (3+ 1)-dimensional generalized
equation governing shallow water waves. When the horizontal extent of the fluid significantly …

This work focuses on the accuracy and numerical strategies for solving the fractional
Chaffee–Infante (CIE) equation in (2+ 1) dimensions computationally. This model illustrates …

In this study, we solve fractional order PDEs with free parameters that regulate wave motion
in a low-pass electrical transmission line equation (LPET) using the unified technique. To …