New symmetry solutions via optimal system and conservation laws of multidimensional sine-Gordon equation
Lie point symmetries of the (2+1) sine-Gordon (S-G) equation are shown to be infinite. Through resultant similarity transformations, reduction of the equation is presented. The finite cases of symmetries are employed to obtain one-dimensional optimal system of subalgebras. Finally, Noether symmetries are utilized to determine conserved vectors for both finite and infinite cases.
Authors
- Zain Majeed
- F. M. Mahomed
- F. D. Zaman
Institutions
- University of the Witwatersrand (ZA)
- Government College University, Lahore (PK)
Publication Details
- Journal
- Afrika Matematika
- Published
- 2026-02-16
- DOI
- https://doi.org/10.1007/s13370-025-01406-6
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00