Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation
| dc.contributor.author | Khalique, Chaudry Masood | |
| dc.contributor.author | Olivier, Carel | |
| dc.contributor.author | Sebogodi, Boikanyo Pretty | |
| dc.date.accessioned | 2025-11-27T07:58:18Z | |
| dc.date.issued | 2024 | |
| dc.description | Journal Article. Department of Mathematics and Applied Mathematics, North-West University, Mafikeng Campus | |
| dc.description.abstract | This paper aims to study the modified Gardner (mG) equation that was proposed in the literature a short while ago. We first construct conserved vectors of the mG equation by invoking three different techniques; namely the method of multiplier, Noether's theorem, and the conservation theorem owing to Ibragimov. Thereafter, we present exact solutions to the mG equation by invoking a complete discrimination system for the fifth degree polynomial. Finally, we simulate collisions of solitons for the mG equation. | |
| dc.identifier.citation | Khalique, C.M et al. 2024. Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation. AppliedMath 4, 1471–1485. https://doi.org/10.3390/ appliedmath4040078 | |
| dc.identifier.issn | 471–1485 | |
| dc.identifier.uri | http://hdl.handle.net/10394/44397 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject | Modified Gardner equation | |
| dc.subject | Lie symmetries | |
| dc.subject | Conserved vectors | |
| dc.subject | Noether’s theorem | |
| dc.subject | Multiplier method | |
| dc.subject | Numerical simulation | |
| dc.title | Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation | |
| dc.type | Article |