This article characterizes nonlinear wave propagation in an incompressible fluid by
investigating an exact unique solution of the (4+ 1)-dimensional Boiti–Leon–Manna …

Propagation of the pressure waves in a liquid with gas bubbles is an important topic in the
field of fluid dynamics and mathematical physics. The Kudryashov-Sinelshchikov equation is …

This study employs analytical and semi-analytical methodologies to investigate the dynamic
behavior of a (3+ 1)–dimensional nonlinear model representing the intricate interactions …

This study comprehensively explores a unified methodology for deriving exact solutions to
the fractional modified (3+ 1) dimensional Kudryashov–Sinelshchikov (KS) equation …

The study focuses on the formation of gas bubbles, a crucial phenomenon that significantly
impacts the hydrodynamics in liquid–gas reactors. This phenomenon has been observed in …

This study delves into the potential polynomial and rational wave solutions of the
Kudryashov–Sinelshchikov equation. This equation has multiple applications including the …

In this paper, we presented the multi-rational solution of the time-dependent (3+ 1)-
dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equations. We have used the …