Lie symmetry analysis, multiple exp‑function method and conservation laws for the (2+1)‑dimensional Boussinesqequation
| dc.contributor.author | S. O. Mbusi1 · A. R. Adem | |
| dc.contributor.author | B. Muatjetjeja | |
| dc.date.accessioned | 2026-01-22T08:13:33Z | |
| dc.date.issued | 2024 | |
| dc.description | 1 Department of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, Republic of South Africa 2 Department of Mathematical Sciences, University of South Africa, UNISA, Pretoria 0003, Republic of South Africa 3 Department of Mathematics, Faculty of Science, University of Botswana, Private Bag 22, Gaborone, Botswana | |
| dc.description.abstract | In this study, we take into account the (2 + 1)-dimensional Boussinesq equation, a nonlinear evolution partial differential equation that describes how gravity waves move across the surface of the ocean. The symmetry reductions and group invariant precise solutions are systematically determined using the Lie symmetry analysis. We derive the precise multiple wave solutions using the multiple exp-function method, and then, using the multiplier method, we give the conservation laws. The dynamics of complicated waves and their interplay are faithfully recreated by the findings. | |
| dc.identifier.citation | Mbusi, S.O., Adem, A.R. and Muatjetjeja, B., 2024. Lie symmetry analysis, multiple exp-function method and conservation laws for the (2+ 1)-dimensional Boussinesq equation. Optical and Quantum Electronics, 56(4), p.670. | |
| dc.identifier.uri | http://hdl.handle.net/10394/45572 | |
| dc.language.iso | en | |
| dc.publisher | Springer Netherlands | |
| dc.subject | Boussinesq equation · Conservation laws · Lie symmetry method · Multiple exp-function method | |
| dc.title | Lie symmetry analysis, multiple exp‑function method and conservation laws for the (2+1)‑dimensional Boussinesqequation | |
| dc.type | Article |