Lie group analysis of the new extended KP and three-dimensional KP-BBM equations

dc.contributor.advisor	Khalique, C.M.
dc.contributor.author	Gaxela, Yanga
dc.date.accessioned	2023-08-07T08:14:09Z
dc.date.available	2023-08-07T08:14:09Z
dc.date.issued	2023
dc.identifier.uri	https://orcid.org/0000-0002-0451-5170
dc.identifier.uri	http://hdl.handle.net/10394/41921
dc.description	MSc (Applied Mathematics), North-West University, Mahikeng Campus	en_US
dc.description.abstract	In this dissertation, we examine three partial deferential equations that are nonlin- ear. Namely, nonlinear filtration equation, the new extended Kadomtsev-Petviashvili equation (eKP) and the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation (KP-BBM). Nonlinear filtration equation is used as an illustrative example. The main equations of this dissertation are then examined. These equation's exact solutions are generated by Lie group analysis. The underlying equation's conservation laws are also determined using the multiplier method, Ibragimov's method and Noether theorem.	en_US
dc.language.iso	en	en_US
dc.publisher	North-West University (South Africa)	en_US
dc.subject	Kadomtsev-Petviashvili-Benjamin-Bona-Mahonyequation	en_US
dc.subject	Lie group analysis	en_US
dc.subject	Con- servation laws	en_US
dc.subject	The new extended Kadomtsev-Petviashvili equation	en_US
dc.title	Lie group analysis of the new extended KP and three-dimensional KP-BBM equations	en_US
dc.type	Thesis	en_US
dc.description.thesistype	Masters	en_US
dc.contributor.researchID	20559860 - Khalique, Chaudry Masood (Supervisor)