HANSRAJ COLLEGE
University of Delhi
NAAC Grade A++ with CGPA 3.71 NIRF Rank # 3 (Amongst Colleges)
University of Delhi
NAAC Grade A++ with CGPA 3.71 NIRF Rank # 3 (Amongst Colleges)
Assistant Professor | Department of Mathematics
Contact (Off.): 9711216414
Email Address : brijmohan6414[at]gmail[dot]com
URL : http://brijmohan.in
Nonlinear Partial Differential Equations, Applied Mathematics, Cryptography, Symbolic Software: Mathematica/Matlab/Maple, Python, R, Power BI, LaTex.
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.
C++ Programming, Numerical Methods, Cryptography, Python, Statistical Software—R, Real Analysis, Calculus, Abstract Algebra, Linear Algebra, Modern Algebra, Differential Equations, and Computer Algebra System Software—Mathematica/Matlab/Maxima.
As Internship Supervisor of Mr. Shiv Shankar Jha (M.Sc., University of Delhi): “Analytical Solutions of Nonlinear Partial Differential Equations using GERF Technique,” February 01-March 31, 2025.
As Internship Supervisor of Ms. Kusum (M.Sc., University of Delhi): “Analytical Solutions of Nonlinear Partial Differential Equations using GERF Technique,” February 01-March 31, 2025.
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 Ms. Arju Agarwal (B.Tech., Amity University, Kolkata): “Working with Computer Algebra System through Mathematica,” May 27-July 20, 2019.
As Internship Supervisor of Mr. Pranav Jain (B.Tech., 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.
2025: Carrying out research for the fulfillment of a Ph.D. degree in Mathematics, University of Delhi, on the topic "Generalization of Solutions, Equations, and Techniques for KdV-type Nonlinear Evolution Equations," under the guidance of Prof. Raj Kumar, KMC, DU.
2009: Carried out research for the fulfillment of the degree M.Tech in Computer Applications, IIT Delhi, on the topic "Gaussian Integer Method of Index Calculus for Discrete Logarithm Problem in Prime Field," under the guidance of Prof. R. K. Sharma, IIT Delhi.
The practical manual utilizes Mathematica for Differential Equations to support undergraduate students in the completion process.
The book titled "Understanding Calculus with Mathematica" is in the process of completion.
2025 Novel exploration of nonlinear waves of a generalized (2+1)-dimensional extended Boussinesq equation: solitons, breathers, and periodic background waves, JAMSS, 1(1), 14–26, https://journalmanager.transitus.in/index.php/jamss/article/view/35
2024 On investigation of kink-solitons and rogue waves to a new integrable (3+1)-dimensional KdV-type generalized equation in nonlinear sciences, Nonlinear Dynamics, 113, 10261–10276, SCIE, Q1, IF:5.6, https://doi.org/10.1007/s11071-024-10792-8
2024 Painleve analysis, restricted bright-dark N-solitons, and N-rogue waves of a (4+1)-dimensional variable-coefficient generalized KP equation in nonlinear sciences, Nonlinear Dynamics, 112:11373-11382, SCIE, Q1, IF:5.6, https://doi.org/10.1007/s11071-024-10645-4
2024 Rogue-wave structures for a generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles, Physica Scripta, 99:105291, SCIE, Q2, IF: 2.6, https://doi.org/10.1088/1402-4896/ad7cd9
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, SCIE, Q2, IF:4.6, https://doi.org/10.1016/j.cjph.2024.09.004
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, IF:5.6 https://doi.org/10.1007/s11071-024-09626-4
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, SCIE, Q1, IF:4.6, 35:127128, https://doi.org/10.1063/5.0185772
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, Q1, IF:5.6, SCIE, 111:20275–20288, https://doi.org/10.1007/s11071-023-08938-1
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, Q2, IF: 2.9, SCIE, 98(8):085237, https://doi.org/10.1088/1402-4896/ace862
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, Q1, IF: 5.7, SCIE, 111:16395–16405, https://doi.org/10.1007/s11071-023-08683-5
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, Q1, IF: 4.803, SCI, DOI: https://doi.org/10.1016/j.joes.2021.11.002
2022 A generalized nonlinear fifth-order KdV-type equation with multiple soliton solutions: Painlev ́e analysis and Hirota Bilinear technique, Physica Scripta, Q2, IF: 3.081, SCIE, 97(12):125214, https://doi.org/10.1088/1402-4896/aca2fa
2022 Application of Hirota’s Direct Method to Nonlinear Partial Differential Equations: Bilinear Form and Soliton Solutions, Hans Shodh Sudha, 3(2):31-38, ISSN:2582-9777, https://www.hansshodhsudha.com/volume3-issue2/manuscript%203.pdf
2022 Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics, Nonlinear Dynamics, Q1, IF: 5.741, SCIE. 110:693-704, https://doi.org/10.1007/s11071-022-07647-5
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, Q2, IF: 3.081, SCI, 97(3):035201. https://doi.org/10.1088/1402-4896/ac4f9d.
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, SCOPUS, 5:100274. https://doi.org/10.1016/j.padiff.2022.100274
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, Q2, IF: 3.081, SCI, 96(12):125255. https://doi.org/10.1088/1402-4896/ac3879
2019 Revenue Generation Strategy through Selfish Mining focusing Multiple Pools of Honest Miners: Revisiting Eyal and Sirer (2014) Selfish Mining Strategy. https://doi.org/10.13140/RG.2.2.31415.85928
Research Papers/Posters Presented:
VIASM's Summer School on Bayesian Modeling, Computation, and Applications, UEH University, Ho Chi Minh City, Vietnam, July 23 - Aug 01, 2025
At International Conference on Nonlinear Analysis and Applications, Rishikesh, UK, May 10-12, 2024
At 2nd 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.
Workshops/FDP/Conferences Organized
2nd International Conference on Recent Trends in Mathematics, at Hansraj College, on 7th-8th February, 2025.
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 the 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.
On “Maple: A scientific computational tool for Research and Academics” in Short Term Programme on Applications of Computational Software in Mathematical Sciences and Engineering at Central University of Haryana, Mahendergarh, Haryana, India, on May 20, 2025.
On "Mathematica" in the Capacity Building Workshop at Miranda House, University of Delhi, New Delhi, India, on April 04-05, 2025.
On "Mathematical Python" in the One-Day Hands-On Training Program at ARSD College, University of Delhi, New Delhi, India, on March 20, 2025.
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 the 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 the Department of Applied Sciences, Maharaja Agrasen Institute of Technology, Rohini, Delhi, on August 9, 2023.
On “Latex” in a two-day workshop organized by the 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, DU, on 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 the 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.
Workshops/FDP/Conferences Participated
Workshop on Theoretical and Computational Dynamics of Biological Systems, April 09-11, 2025, ABV-Indian Institute of Information Technology and Management, Gwalior, M.P., India.
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.
1st 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 Equations, 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.
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).
Extracurricular 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)