Conserved quantities and solutions of a (2+1)-dimensional H a ˇ r a ˇ gus-Courcelle–Il’ichev model
| dc.contributor.author | Adem, Abdullahi Rashid | |
| dc.contributor.author | Khalique, Chaudry Masood | |
| dc.contributor.researchID | 16881621 - Adem, Abdullahi Rashid | |
| dc.contributor.researchID | 20559860 - Khalique, Chaudry Masood | |
| dc.date.accessioned | 2017-05-16T06:32:36Z | |
| dc.date.available | 2017-05-16T06:32:36Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper we study a (2+1)-dimensional Ha?ra?gus-Courcelle-Il'ichev equation (HCI) that models gravity-capillary and flexural-gravity waves. This equation is a generalization of the Kadomtsev-Petviashvili equation, and is obtained due to the presence of certain surface effects. We obtain analytic solutions of the HCI equation by using the Lie symmetry method along with the auxiliary equation method. The solutions obtained are the solitary, cnoidal and snoidal wave solutions. In addition to this we derive the conservation laws of the underlying equation by using the multiplier approach. | |
| dc.identifier.citation | Adem, A.R. & Khalique, C.M. 2016. Conserved quantities and solutions of a (2+1)-dimensional H a ˇ r a ˇ gus-Courcelle–Il’ichev model. Computers And Mathematics With Applications, 71(2016):1129-1136. [https://doi.org/10.1016/j.camwa.2016.01.021] | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.uri | https://doi.org/10.1016/j.camwa.2016.01.021 | |
| dc.identifier.uri | http://hdl.handle.net/10394/24288 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject | (2+1)-dimensional Haˇraˇgus-Courcelle–Il’ichev equation model | |
| dc.subject | Conservation laws | |
| dc.subject | Lie symmetry methods | |
| dc.subject | Auxiliary equation method | |
| dc.title | Conserved quantities and solutions of a (2+1)-dimensional H a ˇ r a ˇ gus-Courcelle–Il’ichev model | |
| dc.type | Article |