Gayrat Urazboev is a distinguished mathematician specializing in nonlinear evolution equations, soliton theory, and integrability. With a Doctor of Science in Mathematics, he has made significant contributions to mathematical physics, particularly in inverse scattering methods and direct analytical approaches. He currently serves as the Vice Rector for International Relations and Professor at Urgench State University in Uzbekistan. Throughout his career, he has held research positions at prestigious institutions in Germany, Spain, and Italy. His extensive academic collaborations, leadership roles, and involvement in international research projects have established him as a key figure in the field. He has organized several international conferences and contributed to academic community building through his role as an editor and reviewer for mathematical journals. His dedication to education and research is reflected in his involvement with ERASMUS+, TEMPUS, and other global academic initiatives. Recognized with multiple research fellowships and grants, he has played a crucial role in advancing mathematical sciences in Uzbekistan. His expertise in differential equations and mathematical physics, coupled with his strong leadership and mentorship, make him an influential scholar in the global academic community.

Professional Profile

• Scopus Profile

Education

Gayrat Urazboev earned his Diploma (equivalent to an M.S.) in Mathematics and Applied Mathematics from Moscow State University, Russia, in 1992. His master’s thesis focused on optimal control of singular distributed systems, laying the foundation for his future research in nonlinear mathematical physics. He pursued a Ph.D. at the Romanovskiy Mathematical Institute, Academy of Sciences of Uzbekistan, where he defended his dissertation in 2001 on the integration of the Korteweg-de Vries equation with self-consistent sources. This research played a crucial role in understanding nonlinear wave equations. In 2007, he completed his Doctor of Science (Doctor Habilitatus) at the National University of Uzbekistan, where he further advanced his studies on nonlinear evolution equations with self-consistent sources. His doctoral research significantly contributed to the field of soliton theory and integrable systems. His academic journey across prestigious institutions has equipped him with profound expertise in mathematical modeling, differential equations, and applied mathematics. Through continuous professional development, he has remained at the forefront of mathematical research and has played an instrumental role in promoting mathematical education and research excellence in Uzbekistan and beyond.

Professional Experience

Dr. Gayrat Urazboev has an extensive academic and research career spanning over three decades. He is currently the Vice Rector for International Relations and a Professor in the Department of Physics and Mathematics at Urgench State University, a position he has held since 2019. Previously, he served as a full professor at the same institution from 2011 to 2018. His international research experience includes roles as a Scientific Researcher at the University of Duisburg-Essen, Germany, in 2011, and as a Postdoctoral Researcher at the University of Santiago de Compostela, Spain, in 2009. Additionally, he served as Vice-Rector and Head of the Department of Mathematical Physics and Applied Mathematics at Urgench State University. His professional contributions extend beyond academia, as he has been involved in multiple international research collaborations and projects, including Erasmus+ and TEMPUS. As a key figure in higher education, he has played a crucial role in curriculum development, faculty training, and research capacity building in Uzbekistan. His expertise in nonlinear mathematical physics, coupled with his leadership in academic administration, has significantly influenced mathematical research and education at both national and international levels.

Research Interests

Dr. Gayrat Urazboev’s research interests lie in the fields of nonlinear evolution equations, inverse scattering methods, soliton theory, and integrability. His work focuses on the development of direct and inverse methods for solving complex partial differential equations with self-consistent sources. He has made significant contributions to the mathematical analysis of solitons, particularly in the study of nonlinear wave phenomena and their applications in physics. His research explores the integration of nonlinear evolution equations, which are fundamental in mathematical physics and engineering. His expertise extends to spectral theory and its applications to differential operators, helping advance the theoretical understanding of wave propagation, fluid dynamics, and quantum mechanics. As a researcher dedicated to mathematical physics, he continuously explores innovative techniques for analyzing and solving nonclassical partial differential equations. His work has been instrumental in advancing the study of integrable systems and has contributed to the development of mathematical tools for tackling real-world problems in science and engineering. Through collaborations with international scholars and participation in global research initiatives, he has expanded the scope of his research, making a lasting impact on the mathematical community.

Research Skills

Dr. Urazboev possesses a strong set of research skills that make him a leading expert in mathematical physics and applied mathematics. His expertise includes analytical and numerical methods for solving nonlinear differential equations, with a focus on integrability and soliton theory. He is proficient in advanced mathematical modeling techniques used in the study of wave dynamics and inverse scattering methods. His computational skills include proficiency in MATLAB, Mathematica, Maple, and LaTeX, which he utilizes for complex mathematical simulations and research documentation. He has extensive experience in academic writing, peer reviewing, and editing mathematical publications, serving as a reviewer for Mathematical Reviews and an editor for the Open Journal of Mathematical Sciences. His ability to design and implement interdisciplinary research projects is evident through his involvement in international collaborations such as Erasmus+ and TEMPUS. Additionally, his strong problem-solving skills, combined with his ability to mentor and guide research students, have contributed to the development of new mathematical theories and applications. His research skills, combined with his leadership in academia, continue to shape the future of mathematical sciences.

Awards and Honors

Dr. Urazboev has been the recipient of numerous prestigious awards and research fellowships, recognizing his contributions to mathematical sciences. In 2020, he was awarded the Weiser Professional Development Fellowship by the University of Michigan, USA, acknowledging his leadership in research and academic development. His international research achievements have been supported by multiple DAAD research scholarships in Germany (2011, 2016) and Erasmus Mundus academic staff mobility scholarships from European institutions such as the University of Graz, Austria, and the University of Santiago de Compostela, Spain. He was also awarded the National Scholarship Programme of the Slovak Republic in 2015. His excellence in research was recognized by the Ministry of Higher and Secondary Special Education of Uzbekistan, which named him Young Doctor of Science in 2007. Additionally, he received the prestigious Istedod Foundation Award from the President of Uzbekistan in 2006. These accolades highlight his global recognition and contributions to the advancement of mathematical research. His numerous research grants and fellowships reflect his dedication to fostering academic excellence and international collaboration in the field of mathematics.

Conclusion

Dr. Gayrat Urazboev is a highly accomplished mathematician with a distinguished career in nonlinear evolution equations, soliton theory, and integrability. His extensive research experience, combined with his leadership roles in academia, has made a significant impact on mathematical sciences. His international collaborations, numerous research grants, and contributions to mathematical education highlight his commitment to advancing the field. His proficiency in mathematical modeling, analytical techniques, and computational tools underscores his technical expertise. While his research output is impressive, further expanding his publication record in high-impact journals and enhancing his English proficiency would strengthen his global influence. His dedication to mentoring young researchers, organizing conferences, and participating in international research programs demonstrates his commitment to academic development. Recognized with prestigious awards and fellowships, he has played a pivotal role in promoting mathematical research and education both in Uzbekistan and internationally. As a researcher and academic leader, he continues to contribute to the field of mathematical physics, making him a strong candidate for research excellence awards and further academic recognition.

Publication Top Notes

1. Title: “Analysis of the Solitary Wave Solutions of the Negative Order Modified Korteweg–de Vries Equation with a Self-Consistent Source”

   • Authors: G.U. Urazboev, I.I. Baltaeva, Shoira E. Atanazarova
   • Year: 2025

2. Title: “Integration of the Negative Order Nonlinear Schrödinger Equation in the Class of Periodic Functions”

   • Authors: G.U. Urazboev, Muzaffar M. Khasanov, Aygul K. Babadjanova
   • Year: 2024

3. Title: “Integration of Negative-Order Modified Korteweg–de Vries Equation with an Integral Source”

   • Authors: G.U. Urazboev, Muzaffar M. Khasanov, O.B. Ismoilov
   • Year: 2024