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Title: Symmetry reductions and solutions to the Zoomeron equation
Authors: Morris, Richard M. 
Leach, P. G. L. 
Keywords: Lie point Symmetry;Symmetry;Zoomeron equation;Airy function;Imaginary error function;Lane-Emden equation
Issue Date: 4-Dec-2014
Publisher: IOP Science
Source: Morris, R. M. and Leach, P. G. L. 2014. Symmetry reductions and solutions to the Zoomeron equation. Physica Scripta. 90(1)
Journal: Physica scripta (Print) 
The terms Boomeron and Zoomeron describe specific instances of solitons that have distinct features where they arise in various physical contexts particularly in laser physics, nonlinear optics and fluid mechanics. They are associated with the coupled Boomeron equation and its descendant the scalar Zoomeron equation (ZE). This article illustrates the application of the Lie theory of continuous groups to the (2+1)-dimensional version of the ZE governed by power-law nonlinearity. Closed-form solutions in terms of Airy functions and the imaginary error function are obtained and variations of the Lane–Emden equation are presented.
ISSN: 0031-8949
Appears in Collections:Research Publications (Applied Sciences)

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