Dr. Mukesh Kumar
Professor
Department of Mathematics
Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India-211004
E-mail: mukesh[at]mnnit[dot]ac[dot]in
Telephone: 1256(O) ----(R)
Thesis Supervised
| S.No | Research Topic | Name of Student | Completion/Registration Year | Ph.D. Completed: |
|---|---|---|---|
| 1 | Study of impulsive fractional differential equations | Dr. Archna Chauhan (2009RMA02) | 2013/2009 |
| 2 | On similarity solutions of non-linear fluid problems | Dr. Raj Kumar (2010RMA56) | 2014/2010 |
| 3 | Some convective instability problems in fluid dynamics | Dr. Amit Mishra (2010RMA01) | 2015/2010 |
| 4 | On Closed form solutions of non-linear fluid problems | Dr. Anshu Kumar (2010RMA53) | 2017/2010 |
| 5 | A study on group-invariant solutions of nonlinear fluid problems. | Dr. Atul Kumar Tiwari (2014RMA53) | 2019/2014 |
| 6 | On Lie Symmetries and Invariant Solutions of Nonlinear Partial Differential Equations. | Dr. Dig Vijay Tanwar (2015RMA04) | 2019/2015 |
| 7 | ON CLOSED FORM SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS | Dr. Manju (2018RMA05) | 2022/2018 |
| 8 | Numerical Simulations for Ordinary Differential Equations using Adomian Decomposition Method | Dr. Umesh (2017RMA01) | 2022/2017 |
| 9 | SOLUTIONS OF DIFFERENTIAL EQUATIONS USING HAAR WAVELET AND LIE SYMMETRIES | Dr. Shitesh Shukla (2018RMA01) | 2023/2018 | Ph.D. Ongoing |
| 1 | The Dynamical Behaviour of Invariant solutions to (2+1)-dimensional fluid problems by similarity transformations method Method (Submitted) | MS. Sushmita Anand (2019RMA08) | 2024/2019 |
| 2 | Dynamics of the breather and solitary waves results of (2+1)-dimensional fluid problems (likely to be submitted) | Ms. Shristi Srivastava (2020RMA08) | 2024/2020 | M.Sc. Students |
| 1 | Similarity Solution of (2+1)- dimensional modified KdV-KP Equation | Ms. Tanya Rastogi (2018MSC07) | 2020 |
| 2 | On some exact solutions of (2+1)-dimensional mKdV-KP equation by similarity transformations method | Mr. Rohit Kushwaha (2018MSC 09) | 2020 |
| 3 | On some exact solutions of the dissipative(2+1)-dimensional Ablowitz–Kaup–Newell-Segur equation by using similarity transformation method | Mr. Anuj Sharma (2019MSC20) | 2021 |
| 4 | Description of Adomian Decomposition Method for the solution of partial differential equation | Ms. Neha (2019MSC02) | 2021 |
| 5 | The Invariant solutions of (2+1)-dimensional MCBS equation by Lie similarity analysis | Mr. Subhash Jangid (2019MSC14) | 2021 |
| 6 | Neural Network method For solving ordinary and partial differential equation | Ms. Rinki Sharama (2019MSC12) | 2021 |
| 7 | Invariant solutions of (2+1)-dimensional extended shallow water wave equation by using Lie similarity method | Mr. Abhimanyu Singh (2020MSC02) | 2022 |
| 8 | Exact Soliton Solutions of (2+1)-Dimensional MCBS Equation by Using Lie Similarity Method | Ms. Nisha Kumari (2020MSC11) | 2022 |
| 9 | Some Exact Solutions of (2+1)-BLP System for Water Waves using Similarity Transformations | Mr. Abhineet Gupta (2015MSC12) | 2017 |
| 10 | Similarity Solutions of Coupled KD Equations | Ms. Vernika Sharma (2015MSC14) | 2017 |
| 11 | Similarity Solutions of (3+1)- dimensional Burger’s equation | Mr. Sunny Agarwal (2016MSC07) | 2018 |
| 12 | Rogue waves for the (2+1)-dimensional B-type Kadomtsev- Petviashvili equation | Ms. Bhavna (2016MSC12) | 2018 |
| 13 | On some exact solutions of (2+1)-dimensional Kdv Burger equation by Similarity Transformations Method | Mr. Abhishek Singh (2017MSC17) | 2019 |
| 14 | On Similarity Solutions for Differential Equations | Mr. Pawan Kumar Mishra | 2010 |
| 15 | On Analytic Study of Differential Equations by Similarity Transformation Methods | Ms. Parimita Roy | 2011 |
| 16 | Invariant Solutions of Non-linear Differential Equations | Mr. Anand Pratap Singh ((2010MSC07) | 2012 |
| 17 | Reduction of Non-linear Partial Differential Equations to Ordinary Differential Equations | Mr. Vivek Kumar Srivastava (2010MSC10) | 2012 |
| 18 | Similarity Solutions of Burger’s Equation | Ms. Saumya Bhatnagar (2011MSC03) | 2013 |
| 19 | A Class of Well Behaved Charged Analogues of Schwarzchild’s Interior Solutions | Mr. Gyan Prakash Navendu (2011MSC07) | 2013 |
| 20 | Solution of Burger’s-Huxley Equation by Similarity Transformation | Ms. Nishtha Shukla (2012MSC03) | 2014 |
| 21 | New Solutions of Boiti-Leon-Pempinelli (BLP) | Mr. Pravesh Tomar (2013MSC01) | 2015 |
| 22 | A Study on (2+1)-Dimensional Swada-Kotera Model | Ms. Keertika Singh (2014MSC09) | 2016 |
| 23 | Exact Solutions of Zabolotskaya-Khokhlov Equation | Mr. Shitesh Shukla (2014MSC10) | 2016 |
| 24 | Solutions of (3+1)-Dimensional Kadomtsev-Petviashvili Equation by Using Similarity Transformations Method. | Ms. Soumya (2021MSC24) | 2023 |
| 25 | Solutions of (3 + 1) Boiti-Leon-Manna-Pempinelli Equation using Similarity transformation method. | Mr. Ronit Sasmal (2021MSC16) | 2023 |
| 26 | Solutions of (3 + 1) Modified Korteweg-de Vries-Zakharov-Kuzetsov equation via Lie symmetry approach. | Mr. Sampath Kumar Mallavelli (2021MSC34) | 2023 |
| 27 | Reduction of Non-linear Partial Differential Equations to Ordinary Differential Equations | Ms. Juhi Kumari (2022MSC17) | 2024 |
| 28 | Time Series Analysis | Mr. Vachan Kapoor (2022MSC10) | 2024 |