Lie group theory in symmetry reduction of physical systems
Nikhil Shetenikhil.shete@dypvp.edu.inDepartment of Civil Engineering Dr. D. Y. Patil Institute of Technology Pimpri-ChinchwadPune, Maharashtra, 411018, IndiaView full profile → , Milind Patilmilind.patil@vit.eduDepartment of Electronics and Telecommunication Engineering Vishwakarma Institute of TechnologyPune, Maharashtra, 411037, IndiaView full profile → , Sunil Thakursunil.thakur@niu.edu.inSchool of Engineering & Technology Noida International UniversityDepartment of School of Engineering & Technology Noida International UniversityGreater Noida, Uttar Pradesh, 203201, IndiaView full profile → , Raman Chadhadr.ramanchadha@gmail.comDepartment of Computer Science & Engineering Chandigarh UniversityPunjab, IndiaView full profile → , *Samir N. AjaniCorresponding authorsamir.ajani@gmail.comSchool of Computer Science and Engineering Ramdeobaba University (RBU)Nagpur, Maharashtra, 440013, IndiaView full profile → , G. Srujanagsrujana@gmail.comDepartment of Computer Science and Engineering KKR and KSR Institute of Technology and SciencesDepartment of Computer Science and Engineering KKR and KSR Institute of Technology and Sciences Guntur, Andhra Pradesh, 522017, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Dec 2024
- Published Online:
- 30 Sep 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2360
- Pages:
- 2189–2196
Abstract
Keywords
Subject Classifications
References
[1] A. D. Polyanin and A. V. Aksenov, “Unsteady Magnetohydrodynamics PDE of Monge–Ampère Type: Symmetries, Closed-Form Solutions, and Reductions,” Mathematics, vol. 12, pp. 2127 (2024).
[2] N. An, J. Bao, and Z. Liu, “Entire solutions to the parabolic Monge–Ampère equation with unbounded nonlinear growth in time,” Nonlinear Anal., vol. 239, pp. 113441 (2024).
[3] F. Gao, “Hyperbolic Monge-Ampère Equation,” J. Appl. Math. Phys., vol. 8, pp. 2971–2980 (2020).
[4] D. Alekseevsky, G. Manno, and G. Moreno, “Invariant Monge-Ampere equations on contactified para-Kahler manifolds,” arXiv preprint arXiv:2402.08315 (2024).
[5] M. Jin, J. Yang, and X. Xin, “The Lie symmetry analysis, optimal system and exact solutions of the (2+1)-dimensional variable coefficients integrable coupled Burgers equations,” Phys. Scr., vol. 98, pp. 125230 (2023).
[6] G. I. Burde, “Cosmological models based on relativity with a privileged frame,” Int. J. Mod. Phys. D, vol. 29, pp. 2050038 (2020).
[7] R. Cherniha and V. Davydovych, “New conditional symmetries and exact solutions of the diffusive two-component Lotka-Volterra system,” Mathematics, vol. 9, pp. 1984 (2021).
[8] Y. Zhang, “Mei’s symmetry theorem for time scales nonshifted mechanical systems,” TAML, vol. 11, pp. 100286 (2021).
[9] B. A. Hassan and M. W. Taha, “Intensification using conjugate gradient for removing impulsive noise from images,” J. Interdiscip. Math., vol. 28, no. 1, pp. 9–18 (2025), doi: 10.47974/JIM-1769.
[10] V. Deshpande, D. Khubalkar, A. Dhablia, M. J. Pasha, D. Dhabliya, and Y. Gandhi, “Enhancing financial transaction security with lightweight cryptographic algorithms,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 2-B, pp. 741–751 (2024).
[11] E. Massa and E. Pagani, “Symmetry and conservation laws in non-holonomic mechanics,” J. Math. Phys., vol. 62, pp. 052901 (2021).
[12] S. Sil and T. R. Sekhar, “Nonlocally related systems, nonlocal symmetry reductions and exact solutions for one-dimensional macroscopic production model,” Eur. Phys. J. Plus, vol. 135, pp. 514 (2020).
[13] M. N. B. V. Thorat, “Seismic Behavior of Composite Steel-Concrete Beams in High-Risk Earthquake Zones: An Analytical and Experimental Approach,” Int. J. Recent Adv. Eng. Technol., vol. 14, no. 2, pp. 11–18 (Aug. 2025).




