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Integrated First Degree

B.E.(Biotechnology)
B.E.(Chemical)
B.E.(Civil)
B.E.(Computer Science)
B.E.(Electrical and Electronics)
B.E.(Electronics and Communication)
B.E.(Electronics and Instrumentation)
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M.E.(Manufacturing Systems Engineering)
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Manoj Kumar Pandey

goa Mathematics

Associate Professor

Hyperbolic PDEs, Nonlinear Waves

Office: A-415, BITS Pilani K K Birla Goa Campus
manojp@goa.bits-pilani.ac.in
manojpandey.iitb@gmail.com
0832-2580279

Publication

  • Manoj Pandey and V.D. Sharma, Interaction of a characteristic shock with a weak discontinuity in a non-ideal gas, Wave Motion, 44(2007), 346-354. (Elsevier)
  • Manoj Pandey, R. Radha and V.D. Sharma, Symmetry analysis and exact solutions of magnetogasdynamic  equations, Quart. J. Mech. Appl. Math.,  61(2008),  291-310. (Oxford Univ, UK)
  • Manoj Pandey and V.D. Sharma., Kinematics of a shock of arbitrary strength in a non-ideal gas, Quarterly of Applied Mathematics, 67 (2009),  401-418. (Brown University, AMS)
  • Manoj Pandey, B.D. Pandey and V.D. Sharma, Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid,  Appl. Math. Comp., 215 (2009), 681-685. (Elsevier)
  • Manoj Pandey, Group theoretic method for analyzing interaction of discontinuity wave with a strong shock in an ideal gas,  Z. Angew. Math. Phys. (ZAMP), 61 (2010), 87-94. (Birkhauser, Switz.)
  • Manoj Pandey, Exact Solutions of the Shallow Water Equations, The International Journal of Nonlinear Science, 16 (2013), 334-339. (World Academic Press)
  • Manoj Pandey,  Evolution of Weak Discontinuities in Non-ideal Magnetogasdynamic Equations, Int. J.  Appl. Comput.  Math., DOI 10.1007/s40819-015-033-y, (2015). (Springer)
  • Manoj Pandey,  Lie Symmetries and Exact Solutions of Shallow Water Equations with Variable Bottom, International Journal of Nonlinear Sciences and Numerical Simulation (IJNSNS), 16, (2015), 337-342, (de Gruyter).
  • Pabitra Kumar Pradhan and Manoj Pandey, Lie Symmetries, One-Dimensional Optimal System and Group Invariant Solutions for Ripa System, International Journal of Nonlinear Sciences and Numerical Simulation (IJNSNS), 20, (2019), 713-723. (de Gruyter)
  • Pabitra Kumar Pradhan and Manoj Pandey, Symmetry analysis and optimal system of generalized Chaplygin gas equations with a source term, Mathematical Methods in the Applied Sciences, 2020, 43, 6081-6092. (Wiley)
  • Sweta Govekar, Pabitra Kumar Pradhan and Manoj Pandey, Evolution of contact and weak discontinuity waves in two phase drift flux model, Int. J.  Appl. Comput.  Math., (2020), 6, 127. (Springer)
  • Dia Zeidan, Sweta Govekar and Manoj Pandey, Discontinuity wave interactions in generalized magnetogasdynamics,  Acta Astronautica, 180, 2021, 110-114. (Elsevier)
  • Dia Zeidan, Manoj Pandey, and Sweta Govekar, Interaction of shock and discontinuity waves at the stellar surfaces, Physics of Fluids, 34, 066111, 2022. (AIP)
  • Pabitra Kumar Pradhan, Dia Zeidan and Manoj Pandey, Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model, Journal of Mathematical Analysis and Applications (JMAA), 521, 126912, 2023. (Elsevier)
  • Sandhya Maurya, Dia Zeidan, Manoj Pandey, Symmetry analysis, optimal system, and invariant solutions for a (2+1)-dimensional two-phase mass flow model, International Journal of Non-Linear Mechanics, 158, 104585, 2024. (Elsevier)
  • Sandhya Maurya, Dia Zeidan, Pabitra Kumar Pradhan, Manoj Pandey, Conservation Laws, Nonlocal Symmetries and Exact Solutions for the Cargo-LeRoux Model with Perturbed Pressure, Physics of Fluids, 36, 086134, 2024.  (AIP)

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