In this manuscript, the novel auxiliary equation methodology (NAEM) is employed to
scrutinize various forms of solitary wave solutions for the modified equal-width wave (MEW) …

In fluid dynamics, mixed-type systems of conservation laws model a wide range of phase
transition problems in compressible media. This analysis studies analytically the time …

Our study focuses on the governing equation of a finitely deformed flexible rod with strain
waves. By utilizing the well-known Ablowita–Ramani–Segur (ARS) algorithm, we prove that …

The problem of turbulent vortices and vortex dynamics under the influence of ocean waves
is a subject of continuing research in the field of wave-current interaction. Thus, this study …

The present study aims to analyze the improved perturbed nonlinear Schrödinger equation
with a Kerr law nonlinearity that governs the soliton propagation dynamics in optical fibre …

We look at the bifurcation analysis, chaotic behavior, multistability, and sensitivity analysis of
the van der Waals equation, which is used in science and engineering to study the dynamics …

This analysis examines the time-fractional mixed hyperbolic-elliptic p-system of conservation
laws by applying the new extended direct algebraic method. The p-system with generalized …

The van der Waals Eq.(1) in [1] is as follows (1)∂ U t+∂ xq V= ς∂ x 2 V− σς 2∂ x 3 V (2)∂ t
V−∂ x U= 0 where U m sec− 1 is the velocity, V m 3 is the volume and q kg m− 1 sec− 2 is …

The present manuscript uses three Kudryashov-based methods to analytically inspect the
class of Gerdjikov–Ivanov equations, which comprises the standard Gerdjikov–Ivanov …