Dr. Md Nur Alam was born in Panchagarh, Bangladesh on 01 March 1986. He completed his B. Sc. (Hons.) and M. Sc. (Thesis) in Mathematics from Rajshahi University, Rajshahi, Bangladesh, in 2008 and 2009, respectively. He was also awarded M. Phil Degree in Mathematics in the field of mathematical physics in 2015 from PUST. He successfully completed his Ph. D. in Computational Mathematics from the University of Science and Technology of China (USTC, China) under a very prestigious CAS-TWAS Scholarship. His Ph. D. thesis was mainly concerned with CAGD and Computer Graphics. In 2012, he joined in a Lecture of Mathematics, PUST. In 2014, he joined as an Assistant Professor of Mathematics, PUST. From 2020 to date, He is doing as an Associate Professor of Mathematics, PUST. His current research interests include fluid mechanics, computer graphics, CAGD, IGA, mathematical physics, integral and fractional order of PDEs. He has published more than 80 papers.
EDUCATION
Ph.D. in Computational Mathematics, Department of Mathematics, University of Science and Technology of China (USTC), China, 2020, (2016-2020). Thesis title: Non-Uniform Subdivision Surfaces via Eigen Polyhedron, Supervisor: Professor Dr. Xin Li
Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa–Holm equation Md. Nur Alam, Shams Forruque Ahmed, Hajar F. Ismael, Mitiku Daba Firdi, Irfan Anjum Badruddin, et al. Scientific Reports, 2026 The modified Camassa–Holm (MCH) equation is a significant mathematical model for describing nonlinear wave phenomena, especially in shallow water dynamics and related physical systems. Although various analytical techniques have been applied to such nonlinear equations, many difficulties have arisen in producing a wide variety of exact and structurally rich solutions. This study addresses this gap by employing the modified (G′/G)-expansion (MG′/GE) method to construct an extensive range of exact traveling wave solutions for the MCH framework, such as trigonometric, hyperbolic, and rational solutions. Numerous waveforms, including single singular, double singular, multiple bright, multiple dark, multiple singular, and singular solitons, have been found to have solutions for the MCH framework. These waveforms have numerous applications in applied sciences and engineering. The structural properties and propagation dynamics of the resulting solutions are successfully depicted by graphics such as 3D, contour, density, 2D time-evolution, and 3D revolving plots. Compared to other existing approaches, such as the sine–cosine method and the tanh method, the MG’/GE approach is substantially more accurate and adaptable. The MG’/GE technique’s durability and computing efficiency allow it to generate precise findings straightforwardly. Its broad variety of applications in nonlinear system analysis is further highlighted by its expansion to fractional-order equations. In addition to laying the foundation for future research on traveling wave phenomena in many scientific domains, the current study presents an analytical scheme for both classical and fractional nonlinear evolution equations (NLEEs).
Closed-form wave solutions to the van der Waals model arising in nature and the longitudinal wave motion equation in a magneto-electro-elastic circular rod Fengxia Wu, Md Nur Alam, Haci Mehmet Baskonus, Hadi Rezazadeh International Journal of Geometric Methods in Modern Physics, 2026 Closed-form wave solutions of nonlinear evolution equations perform a crucial task to show the intrinsic device of complex physical phenomena. In this study, we acquire new closed-form wave solutions to the van der Waals standard form for the fluidized granular matter, which is one of the famous equations in industrial and nature and the Longitudinal Wave Motion Equation in a Magneto-electro-elastic (MEE) Circular Rod through the variation of [Formula: see text]-expansion method. In this regard, the first equation is one of the famous equations in industrial and nature. Understanding of static and dynamic property for the model is critical in numerous perspectives of geophysics, industrial applications, pharmaceutical, civil engineering, as well as the model illustrates the phase separation phenomenon. Therefore, this model is physically meaningful in their own right. By utilizing our new rule, we get not only new exact traveling wave answers but also exact no-traveling wave answers in the expressed of hyperbolic functions. And the second equation that arises in applied mathematics, physical sciences and mathematical physics with dispersion affected over the transverse Poisson’s impact in a broad magneto-electro-elastic circular rod in which a set of closed-form wave solutions concerning the considered equation is presented. To interpret the physical aspect of the obtained solutions, we show the [Formula: see text] and [Formula: see text]-dimensional surfaces and the corresponding contour plot surfaces of the closed-form wave solutions by using Maple. Additionally, it has been discovered that the considered methods contribute a further substantial mathematical mechanism for finding exact solutions to nonlinear PDEs. Furthermore, this technique is proficient of significantly decreasing the size of computational work compared to other existing methods.