top of page

BRIJ MOHAN

 

Assistant Professor

Department of Mathematics
Hansraj College, University of Delhi,

New Delhi, India.

Qualifications

  • Doctor of Philosophy (Ph.D.) pursuing in Mathematics, University of Delhi (DU), Delhi, India, 2022-2025

  • Master of Technology (M.Tech.) in Computer Applications, Indian Institute of Technology (IIT), Delhi, India, 2009.

  • Master of Science (M.Sc.) in Mathematics, Chaudhary Charan Singh University (CCSU), Meerut, Uttar Pradesh, India, 2006.

  • Bachelor of Science (B.Sc.) in Mathematics, NAS College, Chaudhary Charan Singh University (CCSU), Meerut, Uttar Pradesh, India, 2004.
    Certificates:

  • CS50: Introduction to Computer Science, Harvard University (HU), US at edx.org, 2021.

  • Introduction to R, Power BI, ChatGPT, and Data Science R Basics at www.datacamp.com, 2023.

Qualifications
Teaching Experience 

  • Assistant Professor at Hansraj College, University of Delhi, India, July 2013-Present

  • Assistant Professor at Keshav Mahavidyalaya, University of Delhi, India, July 2011-July 2013.

  • Assistant Professor at Kalindi College, University of Delhi, India, July 2009 – June 2011.  

  • Guest lecturer for Operational Research at Bhaskaracharya College, University of Delhi, 2012-2013.

  • Guest lecturer for Numerical Methods at Dayal Singh College, University of Delhi, 2011-2012.

  • Guest lecturer for Numerical Methods at PGDAV College (Evening), University of Delhi, 2011-2012.

Teaching-Experience
Achievements

  • Qualified GATE (Graduate Aptitude Test in Engineering) in Computer Science in 2018.

  • Qualified NET-CSIR (National Eligibility Test) with JRF in Mathematics in June 2007.

  • Qualified GATE in Mathematics in 2007.

  • Qualified SET (Scientist Entry Test) by DRDO for Scientist-B in 2006.

Achievements
Research Projects

  • RDC HRC Project: HRC/RDC/2021/RP/16 - “A study of analytical solutions and dynamical behavior for nonlinear evolution equations using efficient methods” sponsored by Hansraj College during 2022-2023.

  • Innovation Project: HR-304 - “Study and Security Analysis of Smart Cards” sponsored by the University of Delhi during 2015-2016.

Projects
Publications

  • Brij Mohan, Sachin Kumar, (2024) Rogue-wave structures for a generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles, Physica Scripta, 99:105291, (SCI/IF: 2.6), (Q2), https://doi.org/10.1088/1402-4896/ad7cd9
     

  • Brij Mohan, Sachin Kumar, (2024) Generalization and analytic exploration of soliton solutions for nonlinear evolution equations via a novel symbolic approach in fluids and nonlinear sciences, Chinese Journal of Physics, 92:10-21, (SCI/IF: 4.6), (Q2), https://doi.org/10.1016/j.cjph.2024.09.004
     

  • Sachin Kumar, Brij Mohan, (2024) Bilinearization and new center-controlled N-rogue solutions to a (3+1)-dimensional generalized KdV-type equation in plasmas via direct symbolic approach, Nonlinear Dynamics, (Q1), https://doi.org/10.1007/s11071-024-09626-4
     

  • Sachin Kumar, Brij Mohan, (2023) A novel analysis of Cole–Hopf transformations in different dimensions, solitons, and rogue waves for a (2 + 1)-dimensional shallow water wave equation of ion-acoustic waves in plasmas, Physics of Fluids, 35:127128,  (SCI/IF: 4.6), (Q1) https://doi.org/10.1063/5.0185772
     

  • Brij Mohan, Sachin Kumar, Raj Kumar, (2023) Higher-order rogue waves and dispersive solitons of a novel P-type (3+1)-D evolution equation in soliton theory and nonlinear waves, Nonlinear Dynamics, 111:20275–20288, (SCI/IF: 5.6) (Q1) https://doi.org/10.1007/s11071-023-08938-1 
     

  • Sachin Kumar, Brij Mohan, (2023) Newly formed center-controlled rogue wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach, Physica Scripta, 98(8):085237, (SCI/IF: 3.081), (Q2) https://doi.org/10.1088/1402-4896/ace862
     

  • Sachin Kumar, Brij Mohan, (2023) A direct symbolic computation of center-controlled rogue waves to a new Painlevé-integrable (3+1)-D generalized nonlinear evolution equation in plasmas,  Nonlinear Dynamics, 111:16395–16405, (SCI/IF: 5.741), (Q1) https://doi.org/10.1007/s11071-023-08683-5
     

  • Sachin Kumar, Amit Kumar, Brij Mohan (2023) Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+1)-dimensional burgers system in ocean physics and hydrodynamics, Journal of Ocean Engineering and Science, 8(1):1-14, (SCI/IF:7.1), (Q1)  https://doi.org/10.1016/j.joes.2021.11.002
     

  • Sachin Kumar, Brij Mohan (2022) A generalized nonlinear fifth-order KdV-type equation with multiple soliton solutions: Painleve analysis and Hirota Bilinear technique, Physica Scripta, 97(12):125214, (SCI/IF: 3.081), (Q2) https://doi.org/10.1088/1402-4896/aca2fa
     

  • Brij Mohan, Dasharath Meena (2022) Application of Hirota’s Direct Method to Nonlinear Partial Differential Equations: Bilinear Form and Soliton Solutions, Hans Shodh Sudha, 3(2):31-38, https://www.hansshodhsudha.com/volume3-issue2/manuscript%203.pdf
     

  • Sachin Kumar, Brij Mohan, Raj Kumar (2022) Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics, Nonlinear Dynamics, 110:693-704, (SCI/IF: 5.741), (Q1) https://doi.org/10.1007/s11071-022-07647-5
     

  • Sachin Kumar, Brij Mohan, Amit Kumar (2022) Generalized fifth-order nonlinear evolution equation for the Sawada-Kotera, Lax, and Caudrey-Dodd-Gibbon equations in plasma physics: Painleve analysis and multi-soliton solutions, Physica Scripta, 97(3):035201, (SCI/IF:3.081), (Q2) https://doi.org/10.1088/1402-4896/ac4f9d
     

  • Sachin Kumar, Brij Mohan (2022) A novel and efficient method for obtaining Hirota’s bilinear form for the nonlinear evolution equation in (n+1) dimensions, Partial Differential Equations in Applied Mathematics, 5:100274, Scopus https://doi.org/10.1016/j.padiff.2022.100274
     

  • Sachin Kumar, Brij Mohan (2021) A study of multi-soliton solutions, breather, lumps, and their interactions for Kadomtsev-Petviashvili equation with variable time coefficient using Hirota method, Physica Scripta, 96(12):125255, (SCI/IF: 3.081), (Q2) https://doi.org/10.1088/1402-4896/ac3879 

Publications
Papers Presented

  • At International Conference on Nonlinear Analysis and Applications, Rishikesh, UK, May 10-12, 2024

  • At International Conference on Advances in Pure and Applied Mathematics, Delhi, Feb 08-10, 2024

  • At 6th International Conference FIAM-2023, DUBAI, UAE, December 21, 2023.

  • At National Education Conclave: India’s Future and Higher Education, Delhi, March 23-24, 2023.

Paper-Presented
Professional Services

Reviewer for Journals:

  • Nonlinear Dynamics (Springer), Chaos, Soliton & Fractals (Elsevier), Physics of Fluids (American Institute of Physics-AIP), Physica Scripta (Institute of Physics-IOP-Science), Mathematics (MDPI), Partial Differential Equations in Applied Mathematics (Elsevier), Nonautonomous Dynamical Systems (De Gruyter), Modern Physics Letters B (World Scientific).

Services
Research/Internship Guidance

  • As Principal Investigator in the Research Project: "A study of analytical solutions and dynamical behavior for nonlinear evolution equations using efficient methods." 2022(Ongoing), RDC, Hansraj College, DU, Delhi.

  • As Summer Internship Supervisor of Arju Agarwal (Amity University, Kolkata): “Working with Computer Algebra System through Mathematica”, May 27- July 20, 2019.  

  • As Internship Supervisor of Pranav Jain (IIIT Okhla, Delhi): “Revenue Generation Strategy through Selfish Mining focusing Multiple Pools of Honest Miners: Revisiting Eyal and Sirer (2014) Selfish Mining Strategy”, 2019.

  • As Principal Investigator in the Innovation Project: "Study and Security Analysis of Smart Cards", 2015-2016, University of Delhi, Delhi.

Guidance
Administrative Assignments

  • Research Coordinator, RDC, Hansraj College, 2023-2024

  • Member, Collaboration & Community, Committee of RDC, Hansraj College, 2022-2023. 

  • Member, ICT Committee, Hansraj College, 2021-2022.

  • Member, Portal Committee, Hansraj College, 2015-2016.

  • Convenor, Vision Society (Hans Vision, Hansraj College), 2014-2015.

  • Convenor, Pixels Society, Hansraj College, 2014-2015.

  • Stall Guide, Antardhvani-Hansraj College, 2015.

Admin
Invited Talks

  • On “Riding the waves: Exploring the exciting world of water waves” at Atal Tinkering Lab (ATL) Community Day, SD Public School, Pitampura, ATL @ Atal Innovation Mission (AIM) by NITI Aayog, Government of India, April 20, 2024.

  • On “Numerical Optimization: Techniques and Applications” in National Workshop on Numerical Optimization and its Future Perspectives at DDU College, University of Delhi, on March 12 – 16, 2024.

  • On “Prompting AI tools and Writing,” in a One-week workshop: ICT tools and Artificial Intelligence, organized by Malviya Mission Center, UGC, Ministry of Education, Govt. of India, January 8-12, 2024.

  • On "Using Mathematica as a Scientific tool in Teaching and Research", for FDP: Interdisciplinary Learning in Department of Applied Sciences, Maharaja Agrasen Institute of Technology, Rohini, Delhi on August 9, 2023.

  • On “Latex” in a two-day workshop organized by Operation Research Society of India (ORSI): Meerut chapter & Vardhman College, Bijnor, UP on February 25-26, 2023.

  • On “Coding in Mathematics” in a 3-day workshop organized by DIET, Keshavpuram, Delhi on 3-6 October 2022.

  • On “Mathematica - A System for Modern Technical Computing" for FDP organized by MHFDC, Hansraj College, DUon August 21-26, 2020.

  • On “Managing Online Classes: Teaching Learning Tools and e-Content Generation” for FDP organized by Bharti College, DU on August 17-22, 2020.

  • On “Microsoft Teams” for the faculty members of Hansraj College, organized by MHFDC, Hansraj College, DU on August 9, 2020.

  • On “Applications of Computer Algebra System - Mathematica” in a One-day Workshop organized by MMH College, Ghaziabad, UP, on September 29, 2018.

  • On “Mathematica: A Tool for Computational Analysis” in the Faculty Development Programme, organized by the Department of Mathematics, Hansraj College, University of Delhi, on March 10-11, 2018.

  • On “Digital Literacy: An Introduction to ICT Skills” in the Faculty Development Programme, organized by the Department of Physics & Electronics, Hansraj College, University of Delhi, on September 15-17, 2017.

  • On “Understanding Interrelations between the Topics of Mathematics” & “Importance of Prime Numbers & their Utilization in the Modern Era” in TGT Teachers Training, Bal Bharti Public School, Pitumpura, on 23rd May and 26th May, 2017.

  • On “Latex & Website Designing” in National Workshop, organized by the Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi on August 11-12, 2016.

  • On “Illustration through Intuitive Examples” in Workshop on Foundation Course, at Cluster Innovation Centre, University of Delhi on July 15, 2013.

Talks
Workshops/FDP/Conferences Organized

  • Seminar on “Annual Academic Meet: Shri Shanti Narayan Mathematics Conclave-2021” of the Department of Mathematics, Hansraj College, on March 7-8, 2021.

  • Workshop on “How to plan projects: Investigatory approach to learning and hands-on experience with 3M’s-Maple, Mathematica and Matlab” in Department of Mathematics, Hansraj College, University of Delhi on February 9, 2021.

  • Talk on “Educational and Political Challenges before Young India: Dr. Ambedkar’s Insight” under the aegis of Ambedkar Study Circle in Hansraj College, University of Delhi on February 18, 2019.

  • FDP on “Software Packages for Mathematical Sciences” in the Department of Mathematics, Hansraj College, University of Delhi on November 14-19, 2018.

  • FDP On “Mathematica: A Tool for Computational Analysis” in the Department of Mathematics, Hansraj College, University of Delhi on March 10-11, 2018

Organized
Workshops/FDP/Conferences Participated

  • One-week workshop on Fundamentals of Differential Equations with Applications to Real-World Problems, July 8-13, 2024, Jaypee University of Information Technology, Waknaghat, Solan, HP, India.

  • Online training programme on NEP 2020 Orientation & Sensitization Programme, April 20-29, 2024, MM-TTP, UGC, Ministry of Education, Government of India, Delhi.

  • Workshop on Mathematical Sciences for Viksit Bharat@2047, April 12-13, 2024, Faculty of Mathematical Sciences, University of Delhi, Delhi.

  • International Conference on Recent Trends in Mathematics, December 22-24, 2021, MH-FDC, HRC, Delhi.

  • 4th International Conference on Recent Developments in Theory, Computation & Application of Differential Equation, January 21-23, 2019, South Asian University, New Delhi, Delhi.

  • Workshop on Latex, April 9, 2016, Department of Mathematics, HRC, University of Delhi, Delhi.

  • National Conference on Advances in Mathematics, 7-8 March 2014, HRC, University of Delhi, Delhi.

  • Workshop on Foundation Course Building Mathematical Ability, 24-26 June 2013, University of Delhi, Delhi.

  • National workshop on Optimization Techniques & Their Applications, 5-11 June 2013, MNNIT Allahabad.

Participated
Extra-Curricular Activities

  • Achieved the first prize for Mathematical Poetry “Duvidhaa” on National Mathematics Day by the Department of Mathematics, University of Delhi, 22 December 2022.

  • Awarded an honor for realistic story writing “Zid ki Udaan” by Hindi Academy, Government of Delhi, published in Indraprastha Bharti, New Delhi, December 2016.

  • Enacted in a play-themed “Surgery” in “Chekhov ki Duniya” at Hansraj College on March 24, 2017. https://www.youtube.com/watch?v=nD3HO6ubHQM

  • Play musical instruments such as Keyboard, Guitar, Flute, Mouth Organ, and Cajon.

  • Hindi Poetry Blog: www.brijpoems.blogspot.in.

  • Chess (Captain for College Team in Graduation 2002-2004)

  • Photography: www.brijmohan.in/photography

  • Short Hindi Stories: Zid ki Udaan, Dibiya, Premgeet, Tadarthta and others

  • Social Work:
    1.             iPA_inspired Progressive Association | Meerut (Founder)
    2.             Ambedkar Mission Siksha Trust, Ghaziabad (Member)

Extra
bottom of page