Mathabhanga College

Dr. Santanu Raut

Name: Dr. Santanu Raut
Department of Mathematics
Designation: Assistant Professor
Mobile No. +918293361433

Personal Details

Language Known: Bengali, English, Hindi
Gender: Male
Nationality: Indian
Religion: Hinduism
Category: General
Home Address: Vill: Tangenmari, P.O.: Rajarhat, Dist: Cooch Behar-736165, West Bengal

Courses Taught or Teaching

Course Instructor for B.Sc. Mathematics (Hons and Program) Students, Mathbhanga College

. Theory of Real Analysis
. Ordinary and Partial Differential Equations
. Integration Theory
. Dynamical System
. Numerical Analysis
. Matlab And programing with C


  • B.Sc., Mathematics (Hons) Physics and Chemistry A.B.N. Seal College, Cooch Behar, West Bengal
  • M.Sc (Mathematics) Department of Mathematics, University of North Bengal, West Bengal
  • Ph.D. in Mathematics Department of Mathematics, University of North Bengal, West Bengal Thesis title: An introduction to scale free analysis and dynamical system Name of the Supervisor: Prof. D P Datta

Research Interest

  • ◦ Scale free Analysis and Fractal space
  • ◦ Fractional Calculus and its application
  • ◦ Nonlinear Dynamics

Attained Workshops

1) Title: Second SERC school on nonlinear dynamics (January 04 − 24, 2006) Organizer: Department of Science and Technology (DST), Govt. of India
(2) Title: 3 Day (29th − 31st August, 2016)Workshop on Latex Organizer: Cooch Behar College, Cooch Behar, West Bengal, India
(3) Title: Hyperbolic Partial Differential Equations and Conservation Laws, 2016 Organizer: Department of Mathematics, University of Calcutta, West Bengal, India
(4) Title: Recent Advances In Modelling And Computational Techniques In Applied Mathematics, 2017 Organizer: Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India
(5) Title: One Day Workshop on Recent Advances in Mathematics, 2018 Organizer: Department of Mathematics, Cooch Behar Panchanan Barma Univer- sity, Cooch Behar, West Bengal, India
(6) Title: Global Initiative for Academic Networks, 2018 Organizer: Department of Mathematical Sciences, IIT(BHU), India

Papers Presented in Seminar or Conference

  • (1) Seminar title: Advance in Mathematics: Celebrating National Mathematical Year, 2012 Organizer: Department of Mathematics, University of North Bengal, Siliguri, West Bengal Title of Paper: Scale Free ordinary Differential Equation: Novel Solutions
  • (2) Seminar title: Ramanujan Day Celebration, 2015 Organizer: Assam Academy of Mathematics and Department of Mathematics, Guwahati, India Title of Paper: Formation of Cantor Set, Cantor Function using Golden Mean portion of Unity
  • (3) Seminar Title: National Seminar on Recent Developments in Mathematics and Its Applications, 2015 Organizer: Department of Mathematics, University of Kalyani, West Bengal, India Title of Paper: Scale Free ordinary Differential Equation and Time Asymmetric infinitely Differentiable Novel Solution
  • (4) Seminar Title: Applications of Generalized Calculus in Physics and Applied Mathematics, 2016 Organizer: Jadavpur University and Indian Society of Nonlinear Analysis (Isna) Title of Paper: Ultrametric Space and Cantor Set
  • (5) Seminar Title: Frontiers in Science and Technology towards Natonal Devel- opement, 2016 Organizer: Acharya Brojendra Nath Seal College, Cooch Behar, West Bengal, India Title of Paper: Scale Free ordinary Differential Equation and Cantor Set
  • (6) Seminar Title: Recent Advances in Basic Science, 2016Organizer: Ishlampur College, Ishlampur, West Bengal, India Title of Paper: Solution of Fractional Wave Equations by Fractional Characteris- tic Method
  • (7) Seminar Title: International Seminar on Topology, Analysis and Algebra (Istaa)-2017 Organizer: Department of Mathematics, University of North Bengal, West Ben- gal, India Title of Paper: Analytical Solution of Generalized Fractional KdV Equation in Fractal Time Space
  • (8) Seminar Title: Contemporary Developments in Social and basic Sciences in Times of Global Crisis, 2016 Organizer: Surya Sen Mahavidyalaya, Siliguri, West Bengal, India Title of Paper: Solution of Space Time Fractional KdV Burger Equation using Fractional Transformation
  • (9) Seminar Title: International Conference on Applied Nonlinear Analysis & Soft Computing, 2021 Organizer: Department of Mathematics, Gauhati University, Guwahati, Assam, India Title of Paper: Shock solitary and periodic wave solution of the ion acoustic waves for nonextensive dusty Plasmas in the framework of Korteweg-de Vries- Burgers equation with forcing and damping term

Papers Published in Journals

  • (1) Datta, D.P., Raut, S., The arrow of time, complexity and the scale free anal- ysis, Chaos, Solitons and Fractals, 2006, 28, p. 581 − 589
  • (2) Raut, S., Datta, D. P., Analysis on Fractal set, Fractals, 2009, 17, p. 45 − 52
  • (3) Raut, S., Datta, D.P., Non-archimedean scale invariance and cantor sets, Fractals, 2010, 18(1), p. 111118
  • (4) Datta, D.P., Raut, S., Ultrametric Cantor sets and growth of measure, P-Adic Numbers Ultrametric Anal. Appl., 2011, 3, p. 7 − 22
  • (5) Datta, D.P., Raut, S., Chaudhuri, A.R., Diffusion in a class of fractal sets, Int. j. appl. math. stat., 2012, 30(6), p. 3750
  • (6) Ghosh, U., Raut, S., Sarkar, S., Das, S., Solution of space time fractional gener- alized KdV equation, KdV burger equation and Bona-Mahoney-Burgers equation with dual power-law nonlinearity using complex fractional transformation, J. Math. Comput. Sci. 2018, 8(1), p. 114 − 129
  • (7) Kairi, R.R., RamReddy, Ch., Raut, S., Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes, Nonlinear engineering, 2018, 7(1), p. 6572
  • (8) Mukharjee, A., Raut, S., Bagchi, Compactness and regularity via maximal open and minimal closed sets in topological spaces, Scientific Studies and Re- search Series Mathematics and Informatics, (2018) Vol. 28(1) p 53 − 60
  • (9) Mondal, K.K., Roy, A., Chatterjee, P., Raut, S., Propagation of Ion-Acoustic Solitary Waves for Damped Forced Zakharov Kuznetsov Equation in a Relativis- tic Rotating Magnetized Electron-Positron-Ion Plasma, Int. J. Appl. Comput. Math, 2020, 6(3), 55
  • (10) Datta, D.P., Sarkar S., Raut, S.,Novel Excitation of local fractional dynam-ics, Nonlinear Studies, 2020, 27(4)
  • (11) Ghosh, U., Ali, M. R., Raut, S., Sarkar, S., Das, S., D Alemberts solu-tion of fractional wave equations using complex fractional transformation, Nonlinear Sci. Lett. A, 2020, 9(4), p. 299 − 311
  • (12) Raut, S., Mondal, K.K., Chatterjee, P., Roy, A., Propagation of dust-ion- acoustic solitary waves for damped modified KadomtsevPetviashviliBurgers equa- tion in dusty plasma with a q-nonextensive nonthermal electron velocity distribu- tion, SeMA Journal, 2021,(March)
  • (13) Ali, M. R., Raut, S., Sarkar, S., Ghosh, U., Unraveling the combined ac- tions of a Holling type III predatorprey model incorporating Allee response and memory effects, Comput. math. methods, 2021, 3(2), e1130
  • (14) Kairi, R.R., Shaw, S., Roy, S., Raut, S., Thermosolutal Marangoni Impacton Bioconvection in Suspension of Gyrotactic Microorganisms over an Inclined Stretching Sheet. Journal of Heat Transfer, 2021, 143(3), 031201
  • (15) Raut, S., Mondal, K.K., Chatterjee, P., Roy, A., Two-dimensional ion- acoustic solitary waves obliquely propagating in a relativistic rotating magnetised electronpositronion plasma in the presence of external periodic force, Pramana – Journal of Physics, 2021, 95(2), 73
  • (16) Saha, S., Biswas, P., Raut, S., Das, A.N., Convective heat transfer of lami- nar nano-fluids flow through a rectangular micro-channel with different types of baffle-corrugation, Int. J. Comput. Methods Eng. Sci. Mech., March 2021
  • (17) Roy, S., Saha, S., Raut, Das A. N., Studies on the effect of kinematic viscos- ity on electron-acoustic cylindrical and spherical solitary waves in a plasma with trapped electrons, J. Appl. Math. Comput. Mech., 2021, 20(2), 65 − 76
  • (18) Roy, S., Kairi, R.R. & Raut, S. Cylindrical and Spherical DustIon-Acoustic Shock Solitary Waves by Kortewegde Vries-Burgers Equation, Braz J Phys (2021) 51(4)
  • (19) Saha, S., Biswas, P., Raut, S., Das, A.N., Numerical simulations of turbu- lent air flow phenomena and characteristics of Heat transfer through a rectangular micro channel with mixed-type baffles, Int. J. Fluid Mech. Res., 48(3) : 116 (2021)
  • (20) Raut, S., Roy, S., Kairi, R. R., Chatterjee, Approximate Analytical Solutions of Generalized ZakharovKuznetsov and Generalized Modified ZakharovKuznetsov Equations, Int. J. Appl. Comput. Math (2021) 7 : 157


  • (1) Prof. D P Datta, Fellow, The Inter-University Centre for Astronomy and As-trophysics (IUCAA), Pune-411007, Maharashtra, India
  • (2) Prof. Prasanta Chatterjee, Department of Mathematics, Siksha Bhavana,Visva-Bharti University Santiniketan-731235, India
  • (3) Shantanu Das, BARC-Mumbai, Trombay-400085, Maharashtra, India
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