In this scholarly article, we investigate the complex structured (3+ 1)-dimensional Fractional
Heisenberg Ferromagnetic Spin Chain equation (FHFSCE) with conformable fractional …

This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …

In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision
phenomena between one-M-lump and one-, two-soliton solutions to the (2+ 1)-dimensional …

In this article, an amelioration of the approaches namely the new extended direct algebraic
method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) …

The present study suggests a large family of optical solutions to the Kundu–Eckhaus model.
Modified form of an auxiliary equation approach have been used to set the solution families …

This work dives into the Conformable Stochastic Kraenkel-Manna-Merle System (CSKMMS),
an important mathematical model for exploring phenomena in ferromagnetic materials. A …

Most of the nonlinear phenomena are described by partial differential equation in natural
and applied sciences such as fluid dynamics, plasma physics, solid state physics, optical …

The current research focusses on the establishment of an analytical approach known as the
Riccati Modified Extended Simple equation Method (RMESEM) for the development and …

This paper studies (2+ 1)-dimensional Konopelchenko–Dubrovsky equation and (2+ 1)-
dimensional KdV equation via a modified auxiliary equation technique. These two systems …

This paper investigates the solutions of the conformable fractional Sharma-Tasso-Olever
equation with the help of Atangana's conformable differential operator. In this respect, an …