New symmetry solutions via optimal system and conservation laws of multidimensional sine-Gordon equation

Afrika Matematika 2026 Open access

Read full text
Authors: Zain Majeed, F. M. Mahomed, F. D. Zaman
DOI: 10.1007/s13370-025-01406-6
Cited by: 1
References: 9

Abstract

Abstract 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.

Fields of Study & Subjects

Nonlinear Waves and Solitons Algebraic structures and combinatorial models Nonlinear Photonic Systems

Publication details

Journal / source
Afrika Matematika
Publisher
Springer Science and Business Media LLC
Volume
37
Issue
1
Publication date
16 February 2026
Language
EN