Symmetry analysis and conservation laws of the Zoomeron Equation

dc.contributor.author	Motsepa, Tanki
dc.contributor.author	Khalique, Chaudry Masood
dc.contributor.author	Gandarias, Maria Luz
dc.contributor.researchID	20559860 - Khalique, Chaudry Masood
dc.contributor.researchID	24602825 - Motsepa, Tanki
dc.date.accessioned	2018-07-27T08:08:42Z
dc.date.available	2018-07-27T08:08:42Z
dc.date.issued	2017
dc.description.abstract	In this work, we study the (2 + 1)-dimensional Zoomeron equation which is an extension of the famous (1 + 1)-dimensional Zoomeron equation that has been studied extensively in the literature. Using classical Lie point symmetries admitted by the equation, for the ﬁrst time we develop an optimal system of one-dimensional subalgebras. Based on this optimal system, we obtain symmetry reductions and new group-invariant solutions. Again for the ﬁrst time, we construct the conservation laws of the underlying equation using the multiplier method.
dc.identifier.citation	Motsepa, T. et al. 2017. Symmetry analysis and conservation laws of the Zoomeron Equation. Symmetry, 9(27):1-11. [https://doi.org/10.3390/sym9020027]
dc.identifier.issn	2073-8994
dc.identifier.uri	https://doi.org/10.3390/sym9020027
dc.identifier.uri	http://hdl.handle.net/10394/30320
dc.language.iso	en
dc.publisher	MDPI
dc.subject	(2 + 1)-dimensional Zoomeron equation
dc.subject	Lie point symmetries
dc.subject	optimal system
dc.subject	exact solutions
dc.subject	conservation laws
dc.subject	multiplier method
dc.title	Symmetry analysis and conservation laws of the Zoomeron Equation
dc.type	Article

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