Mr. Molahlehi Charles Kakuli  – Lie Symmetry Analysis – Best Researcher Award

Mr. Molahlehi Charles Kakuli  - Lie Symmetry Analysis - Best Researcher Award

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

Dr. Priyanka Nayak – Experimental Condensed Matter Physics – Best Researcher Award

Dr. Priyanka Nayak - Experimental Condensed Matter Physics - Best Researcher Award

Amity university, Jharkhand - India

Author Profile 

GOOGLE SCHOLAR 

Early academic pursuits 🎓

Priyanka Nayak embarked on her academic journey with a b.sc. in physics from ravenshaw university, cuttack, odisha, where she graduated with an impressive 77.9% in 2014. her passion for physics led her to pursue an m.sc. in the same field at veer surendra sai university of technology, burla, odisha, securing an outstanding 85% in 2016. determined to deepen her expertise, she completed her ph.d. in physics from the national institute of technology, rourkela in july 2023, with a cgpa of 8.95. her academic foundation is a testament to her dedication and excellence in the field of condensed matter physics.

Professional endeavors 🏫

Currently serving as an assistant professor at the amity institute of applied sciences, amity university, ranchi, priyanka has made significant strides in both teaching and research. her teaching focuses on the core principles of physics, inspiring future scientists and researchers. at amity, she integrates her research experience into the curriculum, providing students with insights into the latest advancements in physics, particularly in the fields of solid-state lighting and luminescent materials.

Contributions and research focus 🔍

Priyanka’s research is centered on solid-state lighting technology and phosphor materials, which are key to improving energy efficiency in modern electro-optical devices. her work has broad applications in areas like energy conservation, display devices, and lighting sources, making significant contributions toward reducing global energy consumption. in addition to lighting technology, she explores phosphors with miniaturized structures and intriguing properties, studying their effects Experimental Condensed Matter Physics  on bulk properties through core-shell structures. her research extends to spectroscopic applications such as non-invasive temperature thermometry, latent fingerprint visualizations, and security ink for anti-counterfeiting, making her contributions highly relevant to modern scientific and technological needs.

Accolades and recognition 🏅

Priyanka's research achievements have been recognized by her peers in the scientific community. her rigorous work on luminescence and optical materials has not only earned her a doctoral degree from a prestigious institution but also a respected position as an educator at amity university. her academic accomplishments, Experimental Condensed Matter Physics including an excellent cgpa during her ph.d. and top grades during her master's and bachelor's studies, speak to her dedication and prowess in the field of physics.

Impact and influence 🌍

Priyanka’s work in solid-state lighting and energy-efficient materials is timely and impactful, addressing key global challenges such as energy consumption and greenhouse gas emissions. her research contributes to the development of new, efficient light sources and other technological innovations, promoting sustainability Experimental Condensed Matter Physics and energy security. her work on luminescent materials also plays a crucial role in advancing security technologies and forensic applications, further extending her influence across various fields of science.

Legacy and future contributions 🔮

Priyanka Nayak’s legacy is one of innovation and dedication to pushing the boundaries of material science and optical physics. her continued focus on improving energy efficiency and developing new applications for luminescent materials positions her as a forward-thinking researcher in her field. looking ahead, priyanka is Experimental Condensed Matter Physics poised to make further breakthroughs in energy-efficient lighting, advanced materials, and spectroscopic applications, contributing to both academic knowledge and practical technological advancements.

Notable Publications

  • Yb-Mn dimer tailored upconversion luminescence in CaWO4: Er3+/Yb3+/Mn2+ green phosphors for thermometry and optical heating
    Authors: P. Nayak, S.S. Nanda, S. Pattnaik, V.K. Rai, R.K. Sharma, S. Dash
    Journal: Optics & Laser Technology, 2023
  • Enhanced luminescence and Judd-Ofelt analysis in SiO2 encapsulated CaWO4@ CaWO4: Eu: Bi for visualization of latent fingerprints and anti-counterfeiting
    Authors: P. Nayak, S.S. Nanda, S. Dash
    Journal: Applied Surface Science, 2023
  • Tunable luminescence of Eu3+‐activated CaWO4 nanophosphors via Bi3+ incorporation
    Authors: P. Nayak, S.S. Nanda, R.K. Sharma, S. Dash
    Journal: Luminescence, 2020
  • Simultaneous influence of Mg2+ and Sc3+ co-doping on upconversion luminescence and optical thermometry in β-NaYF4: Yb3+/Ho3+ microphosphor
    Authors: S.S. Nanda, P. Nayak, S. Pattnaik, V.K. Rai, S. Dash
    Journal: Journal of Alloys and Compounds, 2023
  • Structural, optical spectroscopy and energy transfer features of Tb3+-activated (Y, Gd)F3 nanophosphors for UV-based LEDs
    Authors: S.S. Nanda, P. Nayak, S.K. Gupta, N.S. Rawat, U.K. Goutam, S. Dash
    Journal: New Journal of Chemistry, 2022