The study consists of the distinct types of the exact soliton solutions to an important model
called the beta-time fractional (1+ 1)-dimensional non-linear Van der Waals equation. This …

This paper presents the mathematical and physical analysis, as well as distinct types of
exact wave solutions, of an important fluid flow dynamics model called the truncated M …

In this work, we implement the bifurcation theory for the planar dynamical system and the
complete discrimination system method of polynomials to the integrable Kuralay equations …

In this study, we investigate the travelling wave solutions of the (2+ 1)-dimensional new
generalized Korteweg–de Vries equation by employing Lie group analysis along with …

The Manakov model, a framework of coupled non-linear Schrödinger equations, reflects an
essential integrable model in non-linear physics, particularly used to analyze soliton …

This work investigates the Kudryashov-Sinelshchikov equation, which explains the influence
of viscosity and heat transfer on pressure wave propagation. This equation is transformed …

The essence of mathematical tools used to exemplify the practical problems that exist in
daily life is as old as the world itself. Mathematical models in science and technology have …

This work delves into the analysis of the Gilson–Pickering equation which governs the
waves propagation in plasma physics by invoking Lie symmetry analysis. We commence by …

A new class of truncated M-fractional exact soliton solutions for a mathematical physics
model known as a truncated M-fractional (1+ 1)-dimensional nonlinear modified mixed-KdV …

This study examines the modified unstable nonlinear Schrödinger model, a fundamental
nonlinear physical model vital for depicting optical solitary wave solutions and their …