Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique
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 …
methodologies. With the proposed method, one of the old but at the same time popular …
[HTML][HTML] Uncovering diverse soliton solutions in the modified Schrödinger's equation via innovative approaches
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 …
focus on the utilization of the modified nonlinear Schrödinger's equation with perturbation …
A new efficient method for solving delay differential equations and a comparison with other methods
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 …
is presented and applied to delay differential equations to find an efficient algorithm for their …
[HTML][HTML] Adequate soliton solutions to the perturbed Boussinesq equation and the KdV-Caudrey-Dodd-Gibbon equation
MA Akbar, NHM Ali, T Tanjim - Journal of King Saud University-Science, 2020 - Elsevier
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 …
the characteristics of longitudinal waves in bars, long water waves, plasma waves, quantum …
Exact solutions for the third-order dispersive-Fisher equations
Z Pinar, H Kocak - Nonlinear Dynamics, 2018 - Springer
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 …
dispersive equations containing Fisher-like nonlinearity, ie dispersion-reaction models …
On solutions of the fifth-order dispersive equations with porous medium type non-linearity
H Kocak, Z Pinar - Waves in Random and Complex Media, 2018 - Taylor & Francis
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 …
linear dispersive partial differential equations, which have the second-order diffusion-like …
On the explicit solutions of fractional Bagley-Torvik equation arises in engineering
Z Pinar - An International Journal of Optimization and Control …, 2019 - ijocta.org
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 analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli …
Analytical studies for the Boiti–Leon–Monna–Pempinelli equations with variable and constant coefficients
Z Pinar - Asymptotic Analysis, 2020 - content.iospress.com
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 …
equation. It is generally seen as two-dimensional model, also recently the model is seen in …
An analytical studies of the reaction-diffusion systems of chemical reactions
Z Pinar - International Journal of Applied and Computational …, 2021 - Springer
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 …
behaviorus. In this work, Schnakenberg, Brusselator and Lengyel–Epstein models are …
The reaction–cross‐diffusion models for tissue growth
Z Pinar - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
The application of mathematics to fields such as biology, medicine, and biotechnology has
resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has …
resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has …