Recent theoretical physics efforts have been focused on the probes for nonlinear pulse
waves in, for example, variable-radius arteries. With respect to the nonlinear waves in an …

Classical Burgers' equation is an indispensable dynamical evolution equation that is
autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This …

Due to the lack of abundant literature with regard to the exact analytical solutions for the new
higher-order Boussinesq-Burgers equations (HOBBE); of course, with the exception of a few …

The current study uses an essential and integrated form of Laplace-type integral transform
coupled with the Adomian's approach to study nonlinear evolution equations endowed with …

This study makes consideration of the recently devised Lax-integrable three-dimensional
sixth-order Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation owing to the great …

The 2D steady flow of CNTs nanofluids and heat transfer over the moving plate through a
uniform free stream under the effect of magnetohydrodynamics (MHD) is studied. The …

In this paper, we studied conformable resonant nonlinear Schrödinger's equation (CRNLSE)
incorporating Kerr law nonlinearity. The task is assisted with the help of a couple of robust …

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

This paper presents a technique for obtaining an exact solution for the well-known
Laguerre's differential equations that arise in the modeling of several phenomena in …

This study examines a class of Boussinesq equations with sixth-order using two promising
analytical methods. The equation in question is among the frontier evolution equations with …