Explicit and approximate solutions for the Conformable-Caputo Time-Fractional diffusive Predator–Prey model

M Ali, M Alquran, I Jaradat - International Journal of Applied and …, 2021 - Springer
The aim of this work is twofold. First, we seek functional explicit solutions to the conformable-
time fractional predator–prey model by adapting the extended Kudryashov method. Second …

Investigation of exact soliton solutions of nematicons in liquid crystals according to nonlinearity conditions

H Durur, A Yokuş, S Duran - International Journal of Modern Physics …, 2024 - World Scientific
In this work, new traveling wave solutions are generated for the system that models
nematicons in liquid crystals using the (1∕ G′)-expansion method. In the equation system …

Extended Calogero-Bogoyavlenskii-Schiff equation and its dynamical behaviors

KK Ali, R Yilmazer, MS Osman - Physica Scripta, 2021 - iopscience.iop.org
In this paper, we consider an extended Calogero-Bogoyavlenskii-Schiff (eCBS) equation.
Based on a logarithmic derivative transform and with the aid of symbolic computation, we …

Exact solutions of Kudryashov–Sinelshchikov equation using two analytical techniques

HU Rehman, N Ullah, MA Imran - The European Physical Journal Plus, 2021 - Springer
In this article, we construct the exact solutions of Kudryashov–Sinelshchikov equation (KSE)
which is the generalization of KdV and describes the nonlinear waves in mixtures of gas …

[PDF][PDF] New wave behaviours of the generalized Kadomtsev-Petviashvili modified equal Width-Burgers equation

KK Ali, R Yilmazer, H Bulut, A Yokus - Appl. Math, 2022 - naturalspublishing.com
In this article, we applied two different methods namely as the (1/G′)-expansion method
and the Bernoulli sub-equation method to investigate the generalized Kadomtsev …

Nonlinear dispersion analysis using dynamic traveling wave model in chemical kinetics

A Yokuş - Journal of Mathematical Chemistry, 2024 - Springer
The Thomas equation, which controls ion exchange as well as chemical kinetics and
advection processes in chemical systems, has its coefficients expanded as functions of time …

Analysis of some new wave solutions of DNA-Peyrard–Bishop equation via mathematical method

A Rani, M Ashraf, M Shakeel… - … Physics Letters B, 2022 - World Scientific
The main goal of this paper is to extract the closed-form wave solutions by means of (G′/G)-
expansion method to the DNA flow known as the Peyrard–Bishop model which describes …

Random numerical stability of attractors for nonlinear Schrodinger equations on infinite lattices

G Liu, Y Li, F Wang - Banach Journal of Mathematical Analysis, 2024 - Springer
We study both numerical and random approximations of the global attractor for the nonlinear
Schrodinger lattice equation. First, for a discrete-time Schrodinger lattice equation via the …

Solitary Wave Solutions of the Generalized (3+ 1)-Dimensional Shallow Water-Like Equation by Using Modified Kudryashov Method

A Yokuş - Adıyaman University Journal of Science, 2021 - dergipark.org.tr
In this study, the generalized (3+ 1)-dimensional Shallow Water-Like (SWL) equation, which
is one of the evolution equations, is taken into consideration. With the help of this evolution …

Some efficient schemes of variational iteration method for handling Schrödinger equations in quantum mechanics

A Güleroğlu, EG Zaralı - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü … - dergipark.org.tr
Atomik düzeyde evreni ve günlük yaşamı tanımlayan temel diferansiyel denklemlerden biri
kuantum mekaniğindeki Schrödinger denklemidir. Schrödinger denklemlerinin çözümleri …