This paper presents an analytical solver which is known as a generalization of types
methodologies. With the proposed method, one of the old but at the same time popular …

The topic of soliton propagation in optical fibers is explored in our research paper, with a
focus on the utilization of the modified nonlinear Schrödinger's equation with perturbation …

In this paper, a new analytical technique, namely the optimal perturbation iteration method,
is presented and applied to delay differential equations to find an efficient algorithm for their …

The perturbed Boussinesq equation and the KdV-Caudrey-Dodd-Gibbon equation describe
the characteristics of longitudinal waves in bars, long water waves, plasma waves, quantum …

In this study, we reveal the exact solutions of the third-order semilinear and nonlinear
dispersive equations containing Fisher-like nonlinearity, ie dispersion-reaction models …

In this work, we focus on obtaining the exact solutions of the fifth-order semi-linear and non-
linear dispersive partial differential equations, which have the second-order diffusion-like …

Abstract In this work, Bagley-Torvik equation is considered with conformable derivatives.
The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli …

The best known model of incompressible fluid is Boiti–Leon–Manna–Pempinelli (BLMP)
equation. It is generally seen as two-dimensional model, also recently the model is seen in …

Reaction–diffusion systems are seen in not only many fields of science but also social
behaviorus. In this work, Schnakenberg, Brusselator and Lengyel–Epstein models are …

The application of mathematics to fields such as biology, medicine, and biotechnology has
resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has …