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Ishmael Takyi

Mathematics

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About

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.

Research Summary

(inferred from publications by AI)

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.

Research Themes

All Papers

Collective coordinates in one-dimensional soliton models revisited(2016)
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(2022)
Vacuum polarization energy of the kinks in the sinh-deformed models(2021)
Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models(2020)
Scattering of kinks in noncanonical sine-Gordon Model(2022)
Quantum effects of solitons in the self-dual impurity model(2023)
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(2020)
The mathematical model for marital interactions in Ghana(2022)
Proportional feedback and optimal control of perturbed sine-Gordon kink solitons(2025)
Collective coordinate description of kink-antikink interaction(2015)
Chiral Soliton Models and Nucleon Structure Functions(2021)
Structure Functions of the Nucleon in a Soliton Model(2019)
Kink Collision in the Noncanonical Φ⁶ Model: A Model with Localized Inner Structures(2022)
A 2-Phase Method for Solving Transportation Problems with Prohibited Routes(2022)
Solving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi‐Reversibility Regularization Method(2022)
Mathematical Modelling of the Spatial Epidemiology of COVID-19 with Different Diffusion Coefficients(2022)
Hypertension and COVID-19 fractional derivative model with double dose vaccination(2023)
A Force Function Formula for Solutions of Nonlinear Weakly Singular Volterra Integral Equations(2024)

Collaboration Network

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About This Profile

This profile is generated from publicly available publication metadata and is intended for research discovery purposes. Themes, summaries, and trajectories are inferred computationally and may not capture the full scope of the lecturer's work. For authoritative information, please refer to the official KNUST profile.