Bio
Kamruzzaman Khan is a Professor in the Department of Mathematics at Pabna University of Science and Technology (PUST), Bangladesh. He earned his Ph.D. in Mathematics from the University of New England, Australia, and an M.Phil in Mathematics from PUST. He also holds an M.Sc. and B.Sc. (Honours) in Applied Mathematics from the University of Rajshahi. His research focuses on nonlinear evolution equations, solitary wave solutions, and the application of the enhanced (G'/G)-expansion method. With over 68 publications, 1,666 citations, an h-index of 24, and an i10-index of 44, his work has made a significant impact in mathematical physics. He serves as a reviewer for the Global Journal of Science Frontier Research (GJSFR) and has contributed to the academic community through research and teaching. His academic IDs include ORCID, Scopus, Web of Science, ResearchGate, and Google Scholar profiles.
Educational Journey
University of New England
PhD in Mathematics • Mathematics
2021Pabna University of Science and Technology
M. Phil in Mathematics • Mathematics
2015University of Rajshahi
M. Sc. in Department of Applied Mathematics • Department of Applied Mathematics
2008Experience
Professor
2012 - Present • MathematicsLecturer
2010 - 2012 • Electrical and Electronics EngineeringResearch
Study of Nonlinear Evolution Equations in Mathematical Physics
In the present paper, we construct the traveling wave solutions involving parameters for some nonlinear evolution equations in the mathematical physics via the Konopelchenko-Dubrovsky Coupled System equation and the (1+1)-dimensional nonlinear Ostrovsky equation by using the Bernoulli Sub-ODE method. By using this method exact solutions involving parameters have been obtained. When the parameters are taken as special values, solitary wave solutions have been originated from the hyperbolic function solutions. It has been shown that the method is effective and can be used for many other NLEEs in mathematical physics
Enhanced (G^/G)-Expansion Method to Find the Exact Complexiton Soliton Solutions of (3+1)-Dimensional Zakhrov-Kuznetsov Equation
In this article, an enhanced ôˆºô€¡³ô€”¢ ô€ˆ€ô€¡³ôˆ»-expansion method has been applied to find the traveling wave solutions of the (3+1)-dimensional Zakhrov-Kuznetsov (ZK) equation. The efficiency of this method for finding these exact solutions has been demonstrated. As a result, a set of complexiton soliton solutions are derived, which are expressed by the combinations of rational, hyperbolic and trigonometric functions involving several parameters. It is shown that the method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics.
