Please use this identifier to cite or link to this item:
https://openscholar.ump.ac.za/handle/20.500.12714/558| Title: | Symmetry solutions and conserved vectors of the two-dimensional Korteweg-de Vries equation. | Authors: | Plaatjie, Karabo. Motsepa, Tanki. Johnpillai, A. G. Khalique, Chaudry Masood. North-West University School of Computing and Mathematical Sciences Eastern University North-West University |
Keywords: | Two-dimensional Korteweg-de Vries equation.;Lie point symmetries.;Exact solution.;Conservation laws.;Multiplier method. | Issue Date: | 2022 | Publisher: | Springer Science and Business Media {LLC} | Abstract: | We study the two-dimensional constant coefficients Korteweg-de Vries equation, which was established not long ago in the literature. We construct group-invariant solutions and conservation laws for this equation. Lie group method is applied and the Lie point symmetries are derived. We show how one can derive travelling waves symmetry solutions given in respect of the Weierstrass-zeta and hyperbolic functions using its symmetries. Furthermore, we present infinite number of conservation laws of the underlying equation obtained by means of the multiplier approach. | URI: | https://openscholar.ump.ac.za/handle/20.500.12714/558 | DOI: | 10.1007/s40819-022-01428-9 |
| Appears in Collections: | Journal articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Symmetry-solutions-and-conserved-vectors-of-the-two-dimensional-Korteweg-de-Vries-equation.pdf | Accepted version | 1.58 MB | Adobe PDF | View/Open |
Items in UMP Scholarship are protected by copyright, with all rights reserved, unless otherwise indicated.