Setu Rani

Journal Publications

• Rani, S., & Kumar, S. (2026). Bifurcations, chaos, sensitivity analysis, and different families of soliton solutions for a (2+1)-dimensional nonlinear cubic Klein–Gordon equation. Qualitative Theory of Dynamical Systems.https://doi.org/10.1007/s12346-026-01476-2
• Rani, S., & Kumar, S. (2025). Dynamics of soliton solutions and various evolving formations of the Jaulent–Miodek and Zakharov–Kuzetsov equations utilizing the newly proposed extended generalized approach. Qualitative Theory of Dynamical Systems.https://doi.org/10.1007/s12346-025-01260-8
• Kumar, S., Rani, S., & Mann, N. (2025). Analytical soliton solutions to a (2+1)-dimensional variable coefficients graphene sheets equation using the application of Lie symmetry approach. Qualitative Theory of Dynamical Systems.https://doi.org/10.1007/s12346-025-01232-y
• Rani, S., Kumar, S., & Kumar, R. (2024). Dynamical study of newly created analytical solutions, bifurcation analysis, and chaotic nature of the complex Kraenkel–Manna–Merle system. Qualitative Theory of Dynamical Systems.https://doi.org/10.1007/s12346-024-01148-z
• Kumar, S., Rani, S., & Ma, W.-X. (2024). Lie symmetries, modulation instability, conservation laws, and the dynamic waveform patterns of several invariant solutions to a (2+1)-dimensional Hirota bilinear equation. Discrete and Continuous Dynamical Systems–S.https://doi.org/10.3934/dcdss.2024136
• Mann, N., Rani, S., Kumar, S., & Kumar, R. (2024). Novel closed-form analytical solutions and modulation instability spectrum induced by the Salerno equation. Mathematics and Computers in Simulation.https://doi.org/10.1016/j.matcom.2023.12.031
• Rani, S., Dhiman, S. K., & Kumar, S. (2024). Newly constructed closed-form soliton solutions, conservation laws and modulation instability for a (2+1)-dimensional cubic nonlinear Schrödinger equation. Optical and Quantum Electronics.https://doi.org/10.1007/s11082-023-06085-w
• Rani, S., Kumar, S., & Mann, N. (2024). On the dynamics of optical soliton solutions, modulation stability, and various wave structures of a (2+1)-dimensional complex modified Korteweg–de Vries equation. Optical and Quantum Electronics.https://doi.org/10.1007/s11082-023-04946-y
• Kumar, S., Rani, S., & Mann, N.. Diverse analytical wave solutions and dynamical behaviors of the new (2+1)-dimensional Sakovich equation emerging in fluid dynamics. The European Physical Journal Plus.https://doi.org/10.21203/rs.3.rs-1655518/v1
• Kumar, S., & Rani, S. (2022). Symmetries of optimal system, various closed-form solutions, and propagation of different wave profiles for the Boussinesq–Burgers system in ocean waves. Physics of Fluids.https://doi.org/10.1063/5.0085927
• Rani, S., Kumar, S., & Kumar, R. (2022). Invariance analysis for determining the closed-form solutions, optimal system, and various wave profiles for weakly coupled B-type KP equations. Journal of Ocean Engineering and Science.https://doi.org/10.1016/j.joes.2021.12.007
• Kumar, S., & Rani, S. (2022). Study of exact analytical solutions and various wave profiles of a new extended Boussinesq equation using symmetry analysis. Journal of Ocean Engineering and Science.https://doi.org/10.1016/j.joes.2021.10.002
• Kumar, S., & Rani, S. (2021). Invariance analysis, optimal system, closed-form solutions and dynamical wave structures of a dissipative long wave system. Physica Scripta.https://doi.org/10.1088/1402-4896/ac1990
• Kumar, S., & Rani, S. (2021). Lie symmetry analysis, group-invariant solutions and dynamics of solitons to the Bogoyavlenskii–Schieff equation. Pramana.https://doi.org/10.1007/s12043-021-02082-4
• Kumar, S., & Rani, S. (2020). Lie symmetry reductions and dynamics of soliton solutions of Pavlov equation. Pramana.https://doi.org/10.1007/s12043-020-01987-w
• Kumar, S., Khan, I., Rani, S., & Ghanbari, B. (2021). Lie symmetry analysis and dynamics of exact solutions of the Sharma–Tasso–Olver equation. Mathematical Problems in Engineering.https://doi.org/10.1155/2021/9961764

Textbook Contributions

• Contributed to content writing for “Topics in Calculus” textbook, ISBN: 978-93-95774-36-9.
• Contributed to content writing for “Theory of Equations and Symmetries” textbook, ISBN: 978-93-95774-35-2.

Paper Presentations at Seminars/ Conferences

• Presented a paper on “Application of Lie symmetry analysis and Jacobian elliptic function expansion method for finding exact solutions of the new Sakovich equation emerging in fluid dynamics” at International Conference on Recent Advancements in Mathematical Sciences, Sadhaura, Haryana, April 28, 2024.
• Presented a paper on “Application of Lie symmetry analysis for finding exact solutions of weakly coupled B-type KP equation” at ICNTMMA-2022, Tamil Nadu, April 07–08, 2022.
• Presented a paper on “Study of exact analytical solutions via Lie symmetry analysis and dynamical wave profiles for a dissipative long wave system” at CMSE-2022, BITS Pilani Hyderabad Campus, April 22–24, 2022.
• Participated in Paper Presentation at University of Delhi and secured First Position on December 22, 2022.
• Presented a paper on “Similarity analysis, closed form solutions and dynamical wave profiles for a dissipative long wave system” at ICND-2021, Central University of Karnataka, December 20–24, 2021.
• Presented a paper on “Lie symmetry analysis” in the Research Seminar in Mathematical Sciences organized by Deen Dayal Upadhyaya College, January 23, 2020.

Invited Talks/Lectures

• Invited talk on “Vedic Mathematics: Ancient Techniques for Modern Problem Solving” organized by the Department of Applied Sciences, HMR Institute of Technology & Management on 23rd March 2026.
• Speaker at International Conference on Mathematical Sciences and Computational Intelligence organized by P.G.D.A.V. College on “Lie Symmetry Analysis and Exact Solutions of a (2+1)-Dimensional Variable Coefficient Graphene Sheet Model”.