The propagation of three-dimensional nonlinear irrotational flow of an inviscid and
incompressible fluid of the long waves in dispersive shallow-water approximation is …

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 paper employs the exp (− Φ (ξ))–expansion method for finding exact solutions of the
Vakhnenko–Parkes (VP) equation. Each of the obtained solutions, namely hyperbolic …

In this paper, the modified simple equation method (MSEM) is applied to construct exact
solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations (NLEEs) …

The improved F-expansion method combined with Riccati equation is one of the most
effective analytical methods in finding the exact traveling wave solutions to non-linear …

In this paper, the fractional evolutions are described by using the conformable derivative for
the first time. We implement fractional functional variable method (FFVM) to obtain some …

The coupled Higgs field equation is significant for describing a system of conserved scalar
nucleons interacting with the neutral scalar meson. The improved Bernoulli sub-equation …

Abstract The (2+ 1) (2+1)-dimensional Chaffee–Infante equation and the dimensionless form
of the Zakharov equation have widespread scopes of function in science and engineering …

In this study, the modified simple equation method is used to construct exact solutions of the
space-time fractional modified Korteweg–de Vries equation, the spacetime fractional …

A significant model of the preserved scalar nucleons associated with neutral scalar masons
is the (2+ 1)-dimensional Nizhnik-Novikov-Veselov equation. Wave solutions are computed …