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Hindi (India)

Shyama Prasad Mukherji College for Women

University Of Delhi

श्यामा प्रसाद मुखर्जी महिला महाविद्यालय

दिल्ली विश्वविद्यालय
PERMANENT FACULTY
Ms. Alpana Rastogi
Ms. Neeru Jain (Teacher In-charge)
Ms. Tripti Anand
Mr. Amit Kumar
Dr. Deepak Bhati
Dr. Md. Salman
Ms. Anju Kumari
Dr. Arpit Kansal
Dr. Ashok Kumar
Ms. Monika
AD-HOC FACULTY
Ms. Alka Goel
Dr. Ashish Kumar Mittal
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Basic Details

Full Name Ms. Monika
Department Mathematics
Email monikaniwas@spm.du.ac.in
Phone Number 9650288180
Address 8/12 Shakti Sadan Roop Nagar, New Delhi, 110007
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Educational Details

Undergraduate Degree: B.Sc (H) Mathematics

Undergraduate University: Janki Devi Memorial College, University of Delhi

Undergraduate Year: 2014

Postgraduate Degree: M.Sc Mathematics

Postgraduate University: Ramjas College, University of Delhi

Postgraduate Year: 2016

PhD Degree: Pursuing

Other Qualifications: M.Phil, Department of Mathematics, University of Delhi 110007

Teaching Experience

Designation: Assistant Professor

Years of Experience: 4

Subjects Taught: Linear Algebra, Calculus, Discrete Mathematics, Analytic Geometry, Theory of Equation and Symmetry, Differential equations

Assigned Courses: B.Sc (H), B.A (Prog.)

Key Achievements: Successfully designed and delivered comprehensive courses in Linear Algebra, Calculus, Discrete Mathematics, Analytic Geometry, Theory of Equation and Symmetry, and Differential Equations, effectively engaging and enhancing the understanding of B.Sc. and B.A. program students. Facilitated deep learning through interactive teaching methods and real-world applications.

Research Interests

  1. My research specialization revolves around the analytical investigation of nonlinear partial differential equations (PDEs), particularly focusing on the Schrödinger equation and related mathematical models. By employing various analytical approaches, I strive to unravel the intricate behaviors and dynamics inherent in these nonlinear systems. Through a combination of mathematical techniques and computational tools, my work aims to contribute to a deeper understanding of the fundamental principles governing quantum mechanics and wave propagation phenomena. This research has the potential to unveil novel insights into the complex interplay between nonlinearity, dispersion, and other key factors, fostering advancements in fields ranging from quantum physics to nonlinear optics and beyond.

Publications

Journal Publications:
  1. Lie symmetry analysis, exact analytical solutions and dynamics of solitons for (2+1)-dimensional NNV equations, Physica Scripta, (ISSN: 1402-4896) Vol 95, Pg. 25, 2020.
  2. Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa–Holm–Kadomtsev–Petviashvili equation, International Journal of Modern Physics B, (ISSN: 0217-9792) Pg. 24, 2020.
  3. Exact closed-form solutions and dynamics of solitons for a (2+1)-dimensional universal hierarchy equation via Lie approach, Pramana Journal of Physics, (ISSN: 0304-4289) Vol. 95, Pg. 1-12, 2021.
  4. Some exact invariant solutions and dynamical structures of multiple solitons for the (2+1)-dimensional Bogoyavlensky-Konopelchenko equation with variable coefficients using Lie symmetry analysis, Chinese Journal of Physics, (ISSN: 0577-9073) Vol. 71, Pg. 518-538, 2021.
  5. Abundant different types of exact-soliton solutions to the (4+1)-dimensional Fokas and (2+1)-dimensional Breaking soliton equations, Communications in Theoretical Physics, (ISSN 0253-6102) Vol. 73(10), 105007, 2021.
  6. Symmetry analysis, closed-form invariant solutions and dynamical wave structures of the generalized (3+1)-dimensional breaking soliton equation using optimal system of Lie subalgebra, Journal of Ocean Engineering and Science, (ISSN 0029-8018), Vol 7, Pg. 188-201, 2021.
  7. Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics, Journal of Ocean Engineering and Science, (ISSN: 0029-8018) Vol. 30, Pg. 13, 2021.
  8. Abundant analytical closed-form solutions and various solitonic wave forms to the ZK-BBM and GZK-BBM equations in fluids and plasma physics, Partial Differential Equations in Applied Mathematics, (ISSN: 2666-8181), Vol 4, 100200, 2021.
  9. Lie symmetry reductions, abound exact solutions and localized wave structures of solitons for a (2 + 1)-dimensional Bogoyavlenskii equation, Modern Physics Letters B, (ISSN: 1793-6640), Vol 35(15), 2150252 (30 pages), 2021.
  10. New optical soliton solutions of Biswas-Arshed equation using the generalized exponential rational function approach and Kudryashov's simplest equation approach, Pramana Journal of Physics} (ISSN: 0304-4289), Manuscript No.: PRAM-D-22-00183R1, 2022.
  11. Abundant soliton solutions and different dynamical behaviors of various waveforms to a new (3+1)-dimensional Schrodinger equation in optical fibers, Optical and Quantum Electronics, (2023).
  12. New optical soliton solutions and a variety of dynamical wave profiles to the perturbed Chen-Lee-Liu equation in optical fibers, Optical and Quantum Electronics, (2023).
  13. New plenteous soliton solutions and other form solutions for a generalized dispersive long‑wave system employing two methodological approaches, Optical and Quantum Electronics, DOI:10.1007/s11082-023-04847-0.
  14. New optical soliton solutions of Biswas–Arshed equation using the generalised exponential rational function approach and Kudryashov’s simplest equation approach, Pramana Journal of Physics, DOI:10.1007/s12043-022-02450-8.
  15. Analyzing Multi-Peak and Lump Solutions of the Variable-Coefficient Boiti–Leon–Manna–Pempinelli Equation: A Comparative Study of the Lie Classical Method and Unified Method with Applications, Nonlinear Dynamics, (2023).