Dr. Lakhveer Kaur

Education

M.Sc. (Panjab university), Ph.D. (Thapar University)

CSIR-JRF (June 2008 and June 2009)

Shyama Prasad Mukherjee Fellowship Selections for June 2009 (Top 10% of CSIR-JRF).

Biography

Dr. Lakhveer Kaur, an Associate Professor at the Department of Mathematics, Jaypee Institute of Information Technology, India. She did her graduation and Post-graduation from Panjab University. She has earned her Ph.D. in Mathematics from Thapar University. Before joining Jaypee Institute of Information Technology, she has worked as an Assistant Professor at Amity University, Noida. She has been Awarded with Institute of Physics (IOP) Trusted Reviewer Status in 2023. Most significantly, she has been listed in well reputed "World Top 2% Scientists-2023" announced by Elsevier and Stanford University, United States.  October 2023. Also, She has been awarded with Most Cited Article Award by IOP (Institute of Physics), using citations recorded in Web of Science. She is handling a research project based on Mathematical Modelling, funded by National Board for Higher Mathematics (NBHM) DAE, Govt. of India as Principal Investigator.  She has teaching and research experience of more than nine years and has published more than 50 research papers in various international Indexed journals with high impact factor and published one Book, based on symmetry methods for differential equations Her Primary area of interest includes dynamical Study of nonlinear partial differential equations with Variable coefficients or their systems governing some physical phenomena from Mathematical Physics and General Relativity by using, Symmetry methods, expansion methods. She has guided one student for successful completion of Ph.D and three more students are pursuing Ph.D under her guidance. Moreover, she has delivered expert talks at national and international universities and visited foreign universities for various research collaborations. She is an active reviewer for many reputed journals like Applied mathematics and computation, CNCNS, Journal of Engineering Mathematics, Nonlinear Dynamics, Journal of Physics A: Mathematical and Theoretical and many more. Despite having many academic and administrative activities, she is actively associated with several professional bodies in different capacities such as life member of Indian Mathematical Society (IMS), India, member of International Association of Engineers (IAENG), life member of Ramanujan Mathematical Society (RMS) and few more. She has vast experience of organizing several conferences and workshops at national and international level, being funded by national agencies.

Work Experience:

More than 11 years of teaching and research experience.

PROFESSIONAL ACHIEVEMENTS

• Awarded with Institute of Physics (IOP) Trusted Reviewer Status, Sept. 2023.
• Listed in well reputed "World Top 2% Scientists-2023" announced by Elsevier and Stanford University, United States. Published: 4 October 2023, Version 6.
• Most Cited Article Award by IOP (Institute of Physics): One of my research paper “Dynamical analysis of lump solutions for (3+1) dimensional generalized KP-Boussinesq equation and Its dimensionally reduced equations” comes under the category of one of the most cited articles from India published across the entire IOP (Institute of Physics) Publishing journal, (one of the most reputed and peer reviewed publication) portfolios in the past three years (2017 to 2019), using citations recorded in Web of Science.
• Number of Ongoing Research Projects: 01
• Project Title: Application of Lie Symmetry Analysis, Singularity Structure Analysis and Lagrangian formalism to study the time evolution of Epidemiological Models, (02011/5/2023 NBHM (R.P)/ R&D-II/1140).
• Funding Agency: National Board for Higher Mathematics (NBHM) DAE, Govt. of India

FIELD OF SPECIALIZATION

• Nonlinear Partial Differential Equations, Mathematical Modeling
• Exact solitary wave solutions and its dynamical behaviors for various nonlinear partial differential equations, arising in different disciplines of science and technology.
• Group Theoretic Techniques, Exact Solutions & Symmetries for Nonlinear Systems.
• Einstein Field Equations, Einstein Maxwell Field Equations and some other physically relevant systems of nonlinear partial differential equations from Mathematical Physics.

GOOGLE SCHOLAR CITATIONS RECORD:

 https://scholar.google.co.in/citations?user=KcDwmYgAAAAJ&hl=en

PUBLICATIONS

• L Kaur, W Adel, M Inc, H Rezazadeh, L Akinyemi, Gaussian solitary wave solutions for nonlinear perturbed Schrödinger equations with applications in nanofibers, International Journal of Modern Physics B, 2450318, https://doi.org/10.1142/S0217979224503181, (Impact Factor-1.7) SCI and Scopus Indexed.
• L. Kaur, A. M. Wazwaz, Dynamical analysis of soliton solutions for space-time fractional Calogero-Degasperis and Sharma-Tasso-Olver equations, Romanian Reports in Physics 74, (2022) 108 (1-17) (Impact Factor-2.147) SCIE and Scopus Indexed.
•  L. Kaur, A. M. Wazwaz, Optical soliton solutions of variable coefficient BiswasMilovic (BM) model comprising Kerr law and damping effect, Optik, (2022), 169617 (In Press) (Impact Factor-2.840) SCI and Scopus Indexed.
• L. Kaur, A. M. Wazwaz, Evolution of Lump and Breather Wave Solutions for New (3+1)-Dimensional Integrable Boussinesq equation, Romanian Reports in Physics, (2022) (Accepted) (Impact Factor-2.147) SCIE and Scopus Indexed.
• Kuldeep, L. Kaur, Exact Solution of (2+1)-Dimensional Variable Coefficients Potential Kadomstev-Petviashvili (VCKP) Equation, Nonlinear Studies, (2022) (Accepted) Scopus Indexed.
• L. Kaur, Kuldeep, Exact Solutions of (2+1)-dimensional cubic Klein-Gordan (cKG) Equation, International Journal of Mathematical, Engineering and Management Sciences, (2022) (Accepted) Scopus Indexed.
• P. Verma, L. Kaur, New Exact Solutions of the (4+1)-Dimensional Fokas Equation Via Extended Version of exp(−ψ(κ))-Expansion Method, International Journal of Applied and Computational Mathematics 7, (2021) 104 Scopus Indexed.
• S. Kumar, L. Kaur, M. Niwas, 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 71 (2021), 518-538 (Impact Factor-3.957) SCI and Scopus Indexed.
• K. Hosseini, L. Kaur, M. Mirzazadeh, H. M. Baskonus, 1-soliton solutions of the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain model with the beta time derivative, Optical and Quantum Electronics 53 (2021), 1-10 (Impact Factor-2.794) SCI and Scopus Indexed.
• S. Singh, L. Kaur, R. Sakthivel, K. Murugesan, Computing solitary wave solutions of coupled nonlinear Hirota and Helmholtz equations, Physica A: Statistical Mechanics and its Applications 560 (2020), 125114 (Impact Factor-3.778) SCI and Scopus Indexed.
• P. Verma, L. Kaur, Nonclassical symmetries and analytic solutions to Kawahara equation, International Journal of Geometric Methods in Modern Physics 17 (2020), 2050118 (Impact Factor-1.873) SCIE and Scopus Indexed.

BOOK PUBLICATIONS

• Published Book entitled Emerging Advancements in Mathematical Sciences, Nova Science Publishers, (2022) ISBN: 978-1-68507-711-2.

THESIS GUIDENCE

• Ms. Tripti Mittal, Travelling Wave Solutions of Some Nonlinear Partial Differential Equations, M. Tech Thesis Supervision (2014).
• Ph.D. Thesis Awarded: Pallavi Verma (16408001) (July 2021), Thesis Entitled: Exact Solutions to Some Nonlinear Evolutionary Partial Differential Equations.
• Ph.D. Thesis (Ongoing): 03

EXPERT LECTURES DELIVERED

• Delivered Two Expert Lectures in Two week Teacher Enrichment Workshop (TEW) entitled “Differential Equations and Mathematical Modelling”, scheduled from Feb 14- 28, 2022 at Department of Mathematics, Jaypee Institute of Information Technology, Noida, India in collaboration with National Centre for Mathematics, A joint centre of IIT Bombay and TIFR, Mumbai, Fully Funded by National Centre for Mathematics (NCM).

• Delivered an Expert lecture on "The Novel Test Function and Bilinearization for Some Nonlinear Partial Differential Equations" on August 27, 2021 in one week faculty development program on "Recent Techniques for the Solutions of Nonlinear Differential Equations" scheduled from August 23 -28, 2021 at Department of Mathematics, Jaypee Institute of Information Technology,  Noida.

• Delivered an Expert lecture on “Regression and correlation with its applications” on April 21, 2022, at Amity Institute of Applied Sciences, Amity University, Noida.

• Delivered an expert lecture entitled "Expedition of Differential Equations with MAPLE" (Hands-on) on August 27, 2021 in one week faculty development program on "Recent Techniques for the Solutions of Nonlinear Differential Equations" scheduled from August 23- 28, 2021 at Department of Mathematics, Jaypee Institute of Information Technology, Noida.

• Acted as Resource Person "National Level Webinar on Recent Trends in Statistical Theory and Applications" on July 09, 2021 at Rathinam College of Arts & Science, Pollachi Road, Eachanari, Coimbatore, Taminadu, India.

• Delivered an Expert lecture on “Application of Special Functions” on November 26, 2021, at Amity Institute of Applied Sciences, Amity University, Noida.

• Delivered an Expert lecture on “Exploration of Linear Algebra Using MAPLE” at Two Weeks Short Term Training Program (STTP) on Advances in Linear Algebra: Technology based Innovation, Department of Mathematics, Jaypee Institute of Information Technology, Noida on June 14 - 26, 2021.

• Delivered three Expert lectures on Basic tools for formatting texts, Page layout by organizing abstract, section, chapter etc, Typesetting of complex mathematical formulae at two-week value added course on Latex, namely An Introductory Course inLatex for Scientific Writing organized by Department of Mathematics, J. C. Bose University of Science and Technology, YMCA to be held from February 15 -27, 2021.

• Delivered an Expert lecture on Regression and Correlation with its Applications at Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida on March 18, 2021.

• Delivered an Expert lecture in International Webinar on the topic Recent Trends in Mathematical Sciences organized by Mathematics Department by Mathematics Department, Hans Raj Mahila Maha Vidyalaya, Jalandhar, GNDU, held on July 28, 2020.

• Delivered an Invited lecture on the topic Bilinearization and Analytic Solutions of Some Partial Differential Equations at Conference on Mathematical Analysis and Applications, National Institute of Technology (NIT), Tiruchirappalli, TAMIL NADU, INDIA, dated December 19-20, 2019.

• Delivered an Expert lecture lecture on the topic "Introduction to Maple Software and Hands on Practice" at National Workshop on Emerging Computational Methods for Science and Engineering Applications, Department of Mathematics, Jaypee Institute of Information Technology, Noida on March 15-16, 2019.

• Delivered an Expert lecture on New Solutions of (3 + 1)-dimensional generalized KP– Boussinesq equation by Bell Polynomials in the conference on "Analysis and its Applications", Dyal Singh College (University of Delhi), New Delhi, December 9-11, 2017.

• Delivered an Expert lecture on Symmetries for Solutions of PDEs at the Department of Mathematics and Computer Science at the University of Missouri – St. Louis, USA on September 13, 2017.

• Delivered an Expert lecture on Applications of Symmetries in Mathematics at Department of Mathematics, Amity University, Noida held on March 22, 2016.

• Delivered an Expert lecture on Symmetries of Differential Equations at Desh Bhagat University, Punjab, held on March 9, 2015.

RECENT PROFESSIONAL ACTIVITIES

RECENT WORKSHOPS/ CONFERENCES ORGANIZED:

I have successfully organized various workshops at Department of Mathematics, Jaypee Institute of Information Technology, Noida, details as follow:

• Organized 6th International Conference on “Recent Advances in Mathematical Sciences and its Applications (RAMSA-2022), at Department of Mathematics, Jaypee Institute of Information Technology, Noida on Dec 08-10, 2022 (Partially funded by DST).
• Organized Two week Teacher Enrichment Workshop (TEW) entitled “Differential Equations and Mathematical Modelling, at Department of Mathematics, Jaypee Institute of Information Technology, Noida, India in collaboration with National Centre for Mathematics, A joint centre of IIT Bombay and TIFR, Mumbai on Feb 14-27, 2021, (Fully funded by National Centre for Mathematics).

• Organized 5th International Conference on “Recent Advances in Mathematical Sciences and its Applications (RAMSA-2021), at Department of Mathematics, Jaypee Institute of Information Technology, Noida on Dec 02-04, 2021 (Partially funded by NSERB).

• Organized a Two Weeks Short Term Training Program (STTP) on Advances in Linear Algebra: Technology based Innovations at Department of Mathematics, Jaypee Institute of Information Technology, Noida on June 14 - 26, 2021.

• Organized a Workshop on Scientific Research Tools for Enriching Skills in Science and Technology at Department of Mathematics, Jaypee Institute of Information Technology, Noida on November 6-7, 2020.

• Organized a webinar for celebration of National Mathematics Day at Department of Mathematics, Jaypee Institute of Information Technology, Noida on December 22, 2020.

• Organized a National Workshop on Emerging Computational Methods for Science and Engineering Applications at Department of Mathematics, Jaypee Institute of Information Technology, Noida on March 15-16, 2019.

• Organized a National Workshop on Current Aspects of Research Evaluation and Plagiarism at Department of Mathematics, Jaypee Institute of Information Technology, Noida on November 30-December 1, 2018.

• Organized a CSIR Sponsored National Workshop on Recent Trends in Mathematical Modelling And Scientific Computing at Department of Mathematics, Jaypee Institute of Information Technology, Noida on April 7-8, 2017.

Moreover, I have participated in several conferences and workshops in the field of applied sciences and technology, organized by reputed academic institutions and universities across the globe.

MEMBERSHIP OF PROFESSIONAL BODIES

• Member of Indian Society of Industrial and Applied Mathematics,
• Life member of Indian Mathematical Society (IMS), India,
• Life member of International Association of Engineers (IAENG),
• Life member of Ramanujan Mathematical Society (RMS)