Walter Sisulu University - South Africa
AUTHOR PROFILE
SCOPUS
ORCID
🎓 EARLY ACADEMIC PURSUITS
Molahlehi Charles Kakuli began his academic journey with a strong foundation in mathematics and computer science at the University of Fort Hare, where he earned his B.Sc. in 2006. His passion for mathematical sciences propelled him to pursue further studies, leading to a B.Sc. Honors in Mathematics in 2008 from the same institution. Building on this solid base, he completed his M.Sc. in Applied Mathematics at Walter Sisulu University in 2018, where he delved into the complex world of Lie Symmetry Analysis, focusing on a nonlinear Fokker-Planck diffusion-convection model. Currently, Mr. Kakuli is in the final stages of his Ph.D. at the University of the Witwatersrand, Johannesburg, with a thesis centered on the double reduction theory applied to (n + 1)-dimensional scalar partial differential equations (PDEs) and systems of PDEs, aiming for graduation in May 2025.
👨🎓 PROFESSIONAL ENDEAVORS
Mr. Kakuli’s professional career is deeply rooted in academia, where he has been contributing as a lecturer since 2012. His journey began at Walter Sisulu University’s Applied Informatics & Mathematical Sciences department, where he taught engineering students in Butterworth until 2019. In 2020, he transitioned to the Mathematical Sciences & Computing department in Mthatha, where he continues to inspire undergraduate and postgraduate students with his in-depth knowledge and engaging teaching methodologies. His roles have extended beyond lecturing, as he has taken on responsibilities such as course design, curriculum development, and even serving as the Head of Department (HOD) on several occasions, ensuring the smooth functioning of academic activities.
📚 CONTRIBUTIONS AND RESEARCH FOCUS
Mr. Kakuli’s research interests lie at the intersection of theoretical mathematics and practical applications. His primary focus is on Lie’s symmetry analysis of differential equations, a powerful tool for solving complex equations by leveraging their inherent symmetries. His contributions in this area include advanced mathematical techniques that enhance the understanding and Lie Symmetry Analysis solutions of PDEs. Through his Ph.D. research, he has expanded the theoretical framework and provided new insights into the application of double reduction theory in higher-dimensional PDEs.
🌟 ACCOLADES AND RECOGNITION
Throughout his academic and professional journey, Mr. Kakuli has garnered respect and recognition for his dedication and contributions to mathematics. His work in Lie Symmetry Analysis Lie Symmetry Analysis has been well received by the academic community, earning him a place among notable researchers in his field. His teaching excellence and commitment to student mentorship have further cemented his reputation as a respected educator and mentor at Walter Sisulu University.
👨🔧 IMPACT AND INFLUENCE
Mr. Kakuli’s impact extends beyond his research contributions to his role as an educator and mentor. He has significantly influenced the academic paths of many students, guiding them through complex mathematical concepts and fostering a deep appreciation for the subject. His involvement in curriculum development and departmental planning has also shaped the Lie Symmetry Analysis academic structure and quality of education at Walter Sisulu University, ensuring that students receive a well-rounded and robust mathematical education.
🔗 LEGACY AND FUTURE CONTRIBUTIONS
As Mr. Kakuli approaches the completion of his Ph.D., he stands at the cusp of further significant contributions to the field of mathematics. His ongoing research and teaching endeavors are set to leave a lasting legacy in both the academic and scientific communities. His commitment to bridging theoretical mathematics with real-world applications ensures that his future contributions will continue to push the boundaries of mathematical sciences, making a meaningful impact on both academic research and practical problem-solving.
NOTABLE PUBLICATIONS
- Title: Application of the Generalized Double Reduction Method to the (1+1)-Dimensional Kaup–Boussinesq (K–B) System: Exploiting Lie Symmetries and Conservation Laws
Authors: Molahlehi Charles Kakuli
Journal: Partial Differential Equations in Applied Mathematics
DOI: 10.1016/j.padiff.2024.101004
- Title: Symmetry Reductions of the (1+1)-Dimensional Broer–Kaup System Using the Generalized Double Reduction Method
Authors: Molahlehi Charles Kakuli, Winter Sinkala, Phetogo Masemola
Journal: Axioms
DOI: 10.3390/axioms13100725
- Title: Conservation Laws and Symmetry Reductions of the Hunter–Saxton Equation via the Double Reduction Method
Authors: Molahlehi Charles Kakuli, Winter Sinkala, Phetogo Masemola
Journal: Mathematical and Computational Applications
DOI: 10.3390/mca28050092