Ishmael Takyi
Department of MathematicsPhysical SciencesSocial Sciences

Ishmael Takyi

18 Publications10 Research Themes17 Open Access
Research Overview & Focus

The researcher's work focuses on the study of nonlinear photonic systems, solitons, and their applications across various fields, including biophysics, epidemiology, and fractional calculus. Their research encompasses collective coordinates in one-dimensional models, vacuum polarization energy studies, quantum effects in solitons, and the application of soliton models to diverse domains such as thin films, biophysics (family dynamics), nonlinear waves, and optimization techniques.

Faculty Biography

Ishmael Takyi is a mathematical physicist, employed as Lecturer in the Department of Mathematics at Kwame Nkrumah University of Science and Technology (KNUST). His route to the current position in KNUST included a PhD at the Institute for Theoretical Physicist at the University of Stellenbosch.

Key Research Themes (10)
Physical Sciences

COVID-19 epidemiological studies

Social Sciences

Family Dynamics and Relationships

Physical Sciences

Fractional Differential Equations Solutions

Physical Sciences

Magnetic properties of thin films

Physical Sciences

Magneto-Optical Properties and Applications

Physical Sciences

Nonlinear Photonic Systems

Physical Sciences

Nonlinear Waves and Solitons

Physical Sciences

Numerical methods in inverse problems

Physical Sciences

Optimization and Mathematical Programming

Physical Sciences

Quantum Chromodynamics and Particle Interactions

Publications (18)

Proportional feedback and optimal control of perturbed sine-Gordon kink solitons

2025Nonlinear Waves and SolitonsDOI: 10.1016/j.chaos.2025.116645

A Force Function Formula for Solutions of Nonlinear Weakly Singular Volterra Integral Equations

Open Access
2024Fractional Differential Equations SolutionsDOI: 10.29020/nybg.ejpam.v17i2.5071

Hypertension and COVID-19 fractional derivative model with double dose vaccination

Open Access
2023Fractional Differential Equations SolutionsDOI: 10.12688/f1000research.133768.1

Quantum effects of solitons in the self-dual impurity model

Open Access
2023Magneto-Optical Properties and ApplicationsDOI: 10.1103/physrevd.107.036003

Kink collision in the noncanonical <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e581"> <mml:msup> <mml:mrow> <mml:mi>φ</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>6</mml:mn> </mml:mrow> </mml:msup> </mml:math> model: A model with localized inner structures

Open Access
2022Nonlinear Photonic SystemsDOI: 10.1016/j.rinp.2022.106197

The mathematical model for marital interactions in Ghana

Open Access
2022Family Dynamics and RelationshipsDOI: 10.1016/j.sciaf.2022.e01449

Mathematical Modelling of the Spatial Epidemiology of COVID-19 with Different Diffusion Coefficients

Open Access
2022COVID-19 epidemiological studiesDOI: 10.1155/2022/7563111

A 2-Phase Method for Solving Transportation Problems with Prohibited Routes

Open Access
2022Optimization and Mathematical ProgrammingDOI: 10.18187/pjsor.v18i3.3911

Solving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi‐Reversibility Regularization Method

Open Access
2022Numerical methods in inverse problemsDOI: 10.1155/2022/5336305

Scattering of kinks in noncanonical sine-Gordon Model

Open Access
2022Nonlinear Photonic SystemsDOI: 10.55730/1300-0101.2690

Kink Collision in the Noncanonical Φ⁶ Model: A Model with Localized Inner Structures

Open Access
2022Quantum Chromodynamics and Particle InteractionsDOI: 10.2139/ssrn.4231283

Vacuum polarization energy of the kinks in the sinh-deformed models

Open Access
2021Nonlinear Photonic SystemsDOI: 10.3906/fiz-2103-32

Chiral Soliton Models and Nucleon Structure Functions

Open Access
2021Quantum Chromodynamics and Particle InteractionsDOI: 10.3390/sym13010108

Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models

Open Access
2020Nonlinear Photonic SystemsDOI: 10.48550/arxiv.2012.12343

Quantum corrections to solitons in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> model

Open Access
2020Magnetic properties of thin filmsDOI: 10.1103/physrevd.102.116004

Structure Functions of the Nucleon in a Soliton Model

Open Access
2019Quantum Chromodynamics and Particle InteractionsDOI: 10.7566/jpscp.26.031002

Collective coordinates in one-dimensional soliton models revisited

Open Access
2016Nonlinear Photonic SystemsDOI: 10.1103/physrevd.94.085008

Collective coordinate description of kink-antikink interaction

Open Access
2015Nonlinear Waves and Solitons
Academic Metrics
DepartmentDepartment of Mathematics
Total Publications18
Research Themes10
Open Access Papers17

Department of Mathematics

Kwame Nkrumah University of Science and Technology

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