In this study, the nonlinear perturbed Schrödinger equation (NPSE) with nonlinear terms as
quadratic-cubic law nonlinearity media with the beta derivative is investigated and this …

Motivated by recent researches in magnetic curves and their flows in different types of
geometric manifolds and physical spacetime structures, we compute fractional Lorentz force …

In this paper, the nonlinear Boussinesq equations with the conformable time-fractional
derivative are solved analytically using the well-established modified Kudryashov method …

In this article, an amelioration of the approaches namely the new extended direct algebraic
method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) …

In this paper, using the Painleve property, the traveling wave transformation, and the sine-
Gordon expansion method (SGEM), the Tzitzéica type evolution equations in nonlinear …

Finding exact analytic solutions to the partial equations is one of the most challenging
problems in mathematical physics. Generally speaking, the exact solution to many …

This paper derives a new fractional (3+ 1)-dimensional modified Zakharov–Kuznetsov
equation based on the conformable fractional derivative for the first time. Some new types of …

Abstract The Sine-Gordon expansion method is implemented to construct exact solutions
some conformable time fractional equations in Regularized Long Wave (RLW)-class …

In this article, the Riccati sub equation method is employed to solve fractional Zakharov–
Kuznetsov equation with dual-power law nonlinearity in the sense of the conformable …

In this article, we present a modified auxiliary equation method. We harness this modification
in three fundamental models in the biological branch of science. These models are the …