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Publications

Publications (International Journals)

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. 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.)
  6. Manoj Pandey,  Exact Solutions of the Shallow Water Equations, The International Journal of Nonlinear Science, 16 (2013), 334-339. (World Academic Press)
  7. 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)
  8. 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).
  9.  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)
  10. 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)
  11. 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)
  12. Dia Zeidan, Sweta Govekar and Manoj Pandey, Discontinuity wave interactions in generalized magnetogasdynamics,  Acta Astronautica, 180, 2021, 110-114. (Elsevier)
  13. Dia Zeidan, Manoj Pandey and Sweta Govekar, Interaction of shock and discontinuity waves at the stellar surfaces, Physics of Fluids, 34, 066111, 2022. (AIP)
  14. 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)
  15. Dia Zeidan, Pabitra Kumar Pradhan and Manoj Pandey, Interaction of discontinuity wave with a shock wave in a real gas, (communicated). 
  16. Sandhya Maurya, Dia Zeidan, Manoj Pandey, Symmetry analysis for a two-phase mass flow model, (communicated).

Paper Presented at Conferences

  • Manoj Pandey, Exact Solutions of  Magnetogasdynamic Equations, Presented at the International Conference on Special Functions & Their Applications  (ICSFA 2014).
  • Rajeev Kumar, Anupama Bansal and Manoj Pandey, Some Exact Solutions of Fractional Order Burgers-Poisson Equation, Recent Advances in Theoretical and Computational Partial Differential Equations with Applications (TCPDE- 2016), Punjab University, Chandigarh, Dec. 05-09 2016.
  • Anupama Bansal, Rajeev Kumar and Manoj Pandey, Lie Symmetries and Invariant Solutions of Nonlinear Time Fractional Hyperbolic Partial Differential Equation, Recent Advances in Theoretical and Computational Partial Differential Equations with Applications (TCPDE- 2016), Punjab University, Chandigarh, Dec. 05-09 2016.
  • Pabitra Pradhan and Manoj Pandey, Lie Symmetries and Exact Solutions of Shallow Water Equations with Horizontal Temperature Gradient, International Conference on Mathematical Modelling and Computations (ICMMC-2018), South Asian University New Delhi, 1-3 December 2018.
  • Sweta Govekar and Manoj Pandey,  Interaction of weak discontinuity with characteristic shock in generalized magnetogasdynamic equations,  International Conference on Mathematical Computer Engineering - 2018 (ICMCE-2018) at Vellore Institute of Technology, Chennai, India.
  • Pabitra Kumar Pradhan and Manoj Pandey, Lie symmetries, one dimensional optimal system and group invariant solutions of generalized Chaplygin gas equations, ICIAM-2019, Valencia (Spain).
  • Pabitra Kumar Pradhan and Manoj Pandey, Symmetry Analysis and  optimal system of generalized Chaplygin gas equations, 85th Annual conference of Indian Mathematical Society, IMS-2019, IIT Kharagpur.
  • Sweta Govekar, Pabitra Kumar Pradhan and Manoj Pandey, Evolution of contact and weak discontinuity waves in two phase drift flux model, AUS-ICMS 2020, American University of Sharjah, UAE.
     
     

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