Dr. Bibekananda Bira

Dr. Bibekananda Bira

Assistant Professor 
Email Id: bibekananda.b@ktr.srmuniv.ac.in
Area: Mathematics 
Affiliation: Department of Mathematics, Faculty of Engineering & Technology, SRM Institute of Science and Technology

Education

Other Details

Courses

• Calculus and Linear Algebra
• Advanced Calculus and Complex Analysis
• Numerical Methods
• Applied Mathematics to Nano-Technologists

Research Interests

• Partial Differential Equations
• Fractional Differential Equations
• Lie group

Selected Publications:

• Hemanta Mandal and  B. Bira, Exact solution and conservation laws of fractional coupled wave interaction equation,  Fractals (World Scientific)(Accepted for publication)
• Hemanta Mandal and B. Bira},  Explicit solutions of coupled time fractional Kaup-Boussinesq equation with weak dispersion, Journal of Applied Nonlinear Dynamics (Accepted for publication), 9 (2020).
• B. Bira, T. Raja Sekhar and D. Zeidan,  Exact solutions for some time-fractional evolution equations using Lie group theory, Mathematical Methods in Applied Sciences (Willey), 41 (2018),  6717-6725.
• B. Bira, T. Raja Sekhar and G.P. Raja Sekhar,  Collision of characteristic shock with the weak discontinuity in non-ideal magnetogasdynamics, Computers and Mathematics with Applications (Elsevier), 75 (2018), 3873-3883.
• B. Bira, T. Raja Sekhar and D. Zeidan,  Application of Lie groups to the compressible model of two-phase flows, Computers and Mathematics with Applications (Elsevier), 71 (2016), 46-56.
• B. Bira and T. Raja Sekhar, Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis, Applied Mathematics and Mechanics (Springer),  36 (2015), no. 8, 1105-1112.
• B. Bira and T. Raja Sekhar, Evolution of weak discontinuity in a van der Waals gas, Ain Shams Engineering Journal (Elsevier),  6 (2015), 1129-1132.
• B. Bira and T. Raja Sekhar, Some exact solutions for sediment transport equations, International Journal of Applied and Computational Mathematics (Springer),  1 (2015), no. 2, 251-255.
• B. Bira and T. Raja Sekhar, Exact solutions to magnetogasdynamic equations in Lagrangian coordinates, Journal of Mathematical Chemistry (Springer),  53 (2015), no. 4, 1162-1171.
• B. Bira and T. Raja Sekhar, Lie group analysis and propagation of weak discontinuity in one-dimensional ideal isentropic magnetogasdynamics, Applicable Analysis (Taylor \& Francis), 93 (2014), no. 12, 2598-2607.
• B. Bira and T. Raja Sekhar,  Symmetry group analysis and exact solutions of isentropic magnetogasdynamics, Indian Journal of Pure and Applied Mathematics (Springer), 44 (2013), no. 2, 153-165.
• B. Bira and T. Raja Sekhar,  Exact solutions to magnetogasdynamics using Lie point symmetries, Meccanica (Springer), 48 (2013), no. 5, 1023-1029.
• B. Bira and T. Raja Sekhar,  Similarity solutions of two dimensional Euler equations for axisymmetric flow of perfect gases,  Pacific Journal of Applied Mathematics, 5 (2013), no. 1, 51-59.
• T. Raja Sekhar and B. Bira, Wave features and group analysis of axisymmetric flow of shallow water equations,  International Journal of Nonlinear Science(Academic, UK), 14 (2012), no. 1, 23-30.

Academic Experience

• Assistant Professor, National Institute of Science and Technology, Department of Mathematics, Berhampur (2014-18).
• Assistant Professor, Ramjas College, Department of Mathematics, Delhi University(2008-10)

Achievements and Awards:

• Sponsored Project, National Board for Higher Mathematics (NBHM),  Amount: Rs. 12,99,600/- (Twelve Lakhs Ninety Nine Thousand Six Hundred), Title of Project}: Applications of Lie groups to fractional order differential equations arising in physical .