Journal article

Symmetry Analysis, Nonlinearly Self-adjoint and Conservation Laws of a Generalized (2+1)-dimensional Klein-Gordon Equation


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Author list: G. Magalakwe, B. Muatjetjeja, C.M Khalique

Publication year: 2019

Volume number: 13

Issue number: 2

Start page: 123

End page: 138

Number of pages: 16

URL: https://einspem.upm.edu.my/journal/fullpaper/vol13_2may/2.%20Magalakwe.pdf

Languages: English



We study a generalization of Klein-Gordon equation (gKGe) in (2+1) dimensions which has an arbitrary element. Lie group classication is carried out on this equation. It is shown that gKGe admits a nine-
dimensional Lie algebra of equivalence transformations and six-dimensional principal Lie algebra which has several possible extensions. The forms of the arbitrary element are linear, exponential, power law nonlinearity and others. Closed form solutions are obtained for some special cases of arbitrary element. Lastly, we derive conservation laws for nonlinearly self-adjoint subclass of the gKGe


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Last updated on 2022-29-11 at 11:35