Faculty Profiles with Publications

Faculty members:

Head, Department of Mathematics
Ph.D. (Motilal Nehru National Institute of Technology Allahabad)
M.Sc. (I. I. T. Roorkee formally University of Roorkee)
Joined the V. B. S. Purvanchal University in March, 2004

  Contact Address:
Quarter No.-4, Block-C, Type-III,
V. B. S. Purvanchal University Campus Colony, Jaunpur-222003, UP
Mobile No.: 9451160911
Email Id: rsoniraj2@gmail.comResearch Interests:
General: Differential Equations, Fluid Dynamics, Complex Analysis, Numerical Analysis, Probability & Statistics, Linear Algebra, Real analysis, Operations Research.
Emphasis: Similarity transformations method, Similarity reductions and Exact solutions of non linear differential Equations
Social and Intra institutional activities:
• Coordinator of a Free Coaching “Prerna” which is running in nearby villages of the VBS Purvanchal University Jaunpur to upgrade the knowledge of financially weak children w.e.f. Sept. 2014
• Deputy Coordinator of a committee constituted for making proposal and implementation for “स्वच्छ भारत अभियान” of Govt. of India in the locality of the VBS Purvanchal University, Jaunpur w.e.f. 29/05/2015
• Programme Officer, NSS unit-III of Faculty of Engineering, VBS Purvanchal University Jaunpur w.e.f. 16/09/14 for three years.
• For the popularization of Science One day workshop on ‘National Science Day (NSD-2014)’ was organized on the occasion of National Science day, 28 Feb. 2014 as Co-Convener in the VBS Purvanchal University, Jaunpur.

Awards & Honours:
• Academic Career throughout first
• Availed National scholarship during 1991-92.
• Awarded first position at college level in 10th class.
• Distinction in English, Science and Mathematics (10th class)
• Distinction in Physics & Mathematics (12th Class)
• Distinction in Mathematics (B.Sc.)
• Distinction in 5 papers (M.Sc.)
National Level Achievements:
• Qualified LS (Dec’2000), JRF (June’2000), JRF (Dec’2001) and LS (June’2006) of National Eligibility Test (CSIR- UGC) in Mathematical Sciences
• Qualified GATE-2000 with Percentile score 96.02 and All India Rank 30 in Mathematics
• Qualified GATE-2001 with Percentile score 86.61 and All India Rank 117 in MathematicsMembership of Professional Bodies:

• Life Member Ship of Indian Mathematical Society
• Annual membership of World Physics Association (WPA) from NOV. 2015 to DEC. 2016

Current Sponsored Projects
1. Project Title : On Exact Solutions of (3+1)-Burgers’ Equations using Similarity Transformations MethodPrincipal Investigator : Raj Kumar
Co-Principal-Investigator : Mukesh Kumar
Sponsoring Agency : UGC funded in VBS PU Jaunpur

2. Project Title: Closed Form Solutions of Natural Convection in a Rectangular Enclosure by Using Similarity Transformations Method
Principal Investigator: Santosh Kumar
Co-Principal-Investigator: Raj Kumar
Sponsoring Agency: UGC funded in V.B.S. P.U. Jaunpur

Workshop organized
• A UGC XII plan funded workshop entitled “Communication Skills” ” was organized as Convener in the VBS Purvanchal University, Jaunpur during 17-18th September, 2016
• A UGC XII plan funded one week Lecture series entitled* “Numerical Techniques and Programming in MATLAB” was organized as Convener in the VBS Purvanchal University, Jaunpur during 22-28th July, 2016
• A UGC funded one week workshop “Numerical Computation Using MATLAB” was organised as Convener during 26-30 November, 2015 jointly by the Departments of Mathematics & Computer Science and Engineering, Faculty of Engineering & Tech. VBS PU Jaunpur
• One day workshop on the occasion of National Science day, 28 Feb. 2014 was organised as Co-Convener the V. B. S. Purvanchal University, Jaunpur.
• A self finance workshop on “Better Engineer” was organized as Co–Convener in the VBS Purvanchal University, Jaunpur during 10-13 November, 2010.
* All the lectures were uploaded on You Tube and corresponding link is provided at the University website. Besides, concerned study material and tutorials are given to students and uploaded them on the University website. During this lecture series two E-Modules were developed covering the syllabus of two units of Numerical techniques of Mathematics-III paper of B. Tech courses. Dr. Raj Kumar played his invaluable role for successful completion of the lecture series.
Membership of Editorial Board:
• SCI Journal Computers & Mathematics with Applications (Elsevier)

Administrative responsibilities:

• Head, Department of Mathematics, March 2004–January 2010, January 2014–till date.
• Deputy Coordinator, PUCAT–2015, and Member in PUCAT–2016.
• Deputy Coordinator, UGC Sponsored Remedial Coaching for SC/ST/OBC students from July, 2015.
• Assistant Dean of Students Welfare, since Oct., 2014.
• Programme Officer: UNS Institute of Engineering & Tech. Unit-III of NSS, VBS Purvanchal University Campus since Sep., 2014-Sep. 2015
• Head–In charge, Computer Science & Engg., IT departments, since November 2007–June 2008.
• Convener, Board of Studies, Department of Mathematics, March 2004–January 2010.
• Convener, Board of Studies, Computer Science & Engg., IT departments, since November 2007–June 2008.
• Astt. Coordinator, B. Tech. Entrance Test Committee, VBS Purvanchal University, Jaunpur during 2006–2007.
• Member, B. Tech. Entrance Test Committee, since 2005–2006.
• Coordinator, B. Tech. OBC Scholarship Cell, September 2004–January 2010.
• Assistant Proctor, University Campus Proctor Board, since 2007–till date
Citation Index – range / average       Research Gate Score of Dr. Raj Kumar is 9.56
                                                        h-index 4,                         Citations 34 (since 2011)

[1]. Solutions of the Konopelchenko–Dubrovsky System Using Lie Group Theory, with Mukesh Kumar, Anshu Kumar, Computers & Mathematics with Applications (Elsevier), 71(10), 2016, 2051-2059.
[2]. Application of Lie-Group Theory for solving Calogero-Bogoyavlenskii-Schiff Equation, IOSR Journal of Mathematics (IOSR-JM), 12(4), 2016, 144-147.

[1]. On Exact Solutions of (2+1)-Dissipative ZK Equation, International Journal of Science, Environment and Technology, 4(5), 2015, 1430 -1437
[2]. Some more similarity solutions of the (2 + 1)-dimensional BLP system, with Mukesh Kumar and Anshu Kumar, Computers & Mathematics with Applications (Elsevier), 70, 2015, 212-221
[1]. On Some New Exact Solutions of Incompressible Steady State Navier-Stokes Equations, with Mukesh Kumar, Meccanica (Springer), 49, 2014, 335-345
[2]. On Exact Solutions of Zabolotskaya-Khokhlov Equation, with Mukesh Kumar and Anshu Kumar, Computers & Mathematics with Applications (Elsevier), 68, 2014, 454-463
[3]. On New Similarity Solutions of the Boiti-Leon-Pempinelli System, with Mukesh Kumar, Communications in Theoretical Physics (IOP Ltd.), 61(1), 2014, 121-126
[4]. Some More Solutions of Burgers’ Equation, with Mukesh Kumar published in an International Conference: (ICMSQUARE-14) proceeding at Madrid, Spain from August 28-31, 2014.
[1]. Some Soliton Solutions of Non linear Partial Differential Equations by Tan-Cot Method, with Mukesh Kumar & Anshu Kumar, IOSR–Journal of Mathematics, 6, 2013, 23-28
[1]. Digital Video Authentication for forensic Application, with Saurabh Upadhyay and Sanjay Singh, Atmbodh, 4(1), 2007, 54-60
[1]. An Electrical Spinning Particle in Einstein’s Unified Field theory, with S.N. Pandey and B.K. Sinha, General Relativity and Quantum Cosmology, IUCAA, 2005 http://arxiv.org/ftp/gr-qc/papers/0610/0610002.pdf
Invited lectures/papers/Key note address/chair sessions for conferences/ seminars/workshops and symposia etc.
(a) International Level
• Paper : Similarity Solution of the CBS Equation 22-24 Dec., 2015 in 18th International Conference of Academy of Physical Sciences (CONIAPS XVIII), at University of Allahabad, India
• Paper : More Solutions of KD Equation, during 30-31 Oct., 2015 in an International Conference on Condensed Matter & Applied Physics, Govt. Engineering College, Bikaner-334004, Rajasthan India
• Paper : New Exact Solutions of the (2+1)-dimensional Boiti-Leon-Pempinelli System, July 1-3, 2013 in an International Conference Mathematical Modelling and Numerical Simulation (ICMMANS-2013) at Babasaheb Bhimrao Ambedkar University, Lucknow (UP).
• Paper : On Invariant Solutions of Steady–State Navier–Stokes Equations, during October 19–20, 2012 in an International Conference, South Eastern Atlantic Regional Conference on Differential Equations (SEARCDE–2012) at Wake Forest University, Winston Salem, North Carolina, USA.
(b) National Level
An invited talk, “Finite Element Method,” during 31 Oct. 2015 (2 Lectures) at Department of Mechanical Engg., Govt. Engineering College, Bikaner
Paper : On Some Invariant Solutions of (2+1)-dimensional ZK dissipative Equation, November 29-30, 2014 in a national Conference Applications of Mathematics in Engineering and Sciences (AMES–2014) at MNNIT Allahabad, India
Paper :On Similarity Transformation Methods and Some Applications, during October 17–18, 2014 in a national Conference On Role of Mathematics In Sustainable Development, Govt. Deg. College, Karanprayag (Chamoli), Uttrakhand, India
Paper :On Similarity Solutions of Burgers’ Equation, during October 5-7, 2012, Advances in Mathematical Sciences (AMS–2012) at Department of Mathematics, MNNIT Allahabad.
Paper :Behaviour of Magnetic Tubes in Neutron star’s Interior, December 7-10, 2004, in a national Conference 23rd Conference of IAGRG, University of Rajasthan, Jaipur, India
An invited talk “Similarity Transformations method: Theory and Applications” during May 2-6, 2016 (4 Lectures) in a National workshop “Computational Techniques for Differential equations” SVNIT Surat
An invited talk “Career Counselling,” on May 4, 2016 (2 Lectures) during a National workshop “Computational Techniques for Differential equations” at Department of Applied Mathematics and Humanities, SVNIT Surat.
(c) State/ University Level
An invited talk, “Permutations, Combinations and Probability theory,” on May 16, 2014 (2 Hrs) at St. Patrick’s School, Jaunpur-222106, U.P.
An invited talk, “Linear Programming in Operations Research,” on Feb 28, 2005 (2 Lectures) at Department of Mathematics, T. D. P.G. College, Jaunpur U.P.Dr. Uday Raj Prajapati

Designation: Lecturer (on Contract)
Mob No. 9415898801
Email: udayrajprajapati 2011@gmail.com
Category : OBC

Permanent Address
Village: Rampur (Madhopatti)
Post: Kajgaon
District: Jaunpur-222138
Educational Qualifications: M. Sc., Ph.D.
Full-time Teaching Experience: 16Yrs Approximately
1. U.R. Prajapati, M.K. Singh,”Certain Results Involving the Product of two Mock Theta Functions of Different Groups” Journal Purvanchal Academy of Science, Jaunpur, 10,37-40,2004
Paper published in Conferences proceedings
• U.R. Prajapati and M.K. Singh, “GENERATING RELATIONS : FOR MOCK –THETA FUNCTIONS” PROCEEDINGS OF XIV ANNUAL CONFERENCE OF Purvanchal Academy of Science, Jaunpur -2005
• U.R. Prajapati and M.K. Singh, “Ordinary Hypergeometric Series and Continued fractions PROCEEDINGS OF XIV ANNUAL CONFERENCE OF Purvanchal Academy of Science, Jaunpur -2005