The current research is about new exact soliton solutions to the Cahn–Allen equation and
Predator–Prey model with the most general fractional derivative operator. The novel …

Bernoulli sub‐equation function method is applied to obtain exact solutions of Caudrey–
Dodd–Gibbon–Sawada–Kotera (CDGSK) nonlinear partial differential equation. As a result …

In this paper, we investigate the physical behavior of the basic elements that related to
phase decomposition in ternary alloys of (Fe–Cr–Mo) and (Fe–Cr–Cu) according to …

This research analyzes the symmetry analysis, explicit solutions and convergence analysis
to the time fractional Cahn–Allen (CA) and time-fractional Klein–Gordon (KG) equations with …

By employing modified simple equation (MSE) scheme, we estimate the presence of stable
kink soliton and kinky-periodic rogue wave solutions; unstable singular kink wave solutions …

In this paper, we consider the nonlinear space–time fractional form of Cahn–Allen equation
(FCAE) with beta and M-truncated derivatives. Cahn–Allen equation (CAE) is commonly …

In this paper, the evolutionary Cahn–Allen equation is upgraded into the generalized two-
mode version via Korsunsky's sense. The new established model is characterized in terms …

Studies in computational mathematics have taken a fantastic aesthetics in interdisciplinary
fields as researchers in this area have resiliently adopted constructive methods, schemes …

In this paper, we establish exact solutions for some nonlinear fractional differential equations
(FDEs). The first integral method with help of the fractional complex transform (FCT) is used …

In this article, new exact analytical solutions of some nonlinear evolution equations (NLEEs)
arising in science, engineering and mathematical physics, namely time fractional Cahn …