Please use this identifier to cite or link to this item: http://hdl.handle.net/10321/2319
Title: Algebraic and singularity properties of a class of generalisations of the Kummer–Schwarz equation
Authors: Sinuvasan, R. 
Tamizhmani, K. M. 
Leach, P. G. L. 
Keywords: Kummer–Schwarz;Symmetries;Singularities;Integrability
Issue Date: 28-Sep-2016
Publisher: Springerlink
Source: Sinuvasan, R.; Tamizhmani, K. M. and Leach, P. G. L. 2016. Algebraic and singularity properties of a class of generalisations of the Kummer–Schwarz equation. Differential Equations and Dynamical Systems. 1-10.
Abstract: The Kummer–Schwarz Equation, 2y􀀀 y􀀀􀀀􀀀 − 3y􀀀􀀀2 = 0, (the prime denotes differ-entiation with respect to the independent variable x) is well known from its connection to the Schwartzian Derivative and in its own right for its interesting properties in terms of sym-metry and singularity. We examine a class of equations which are a natural generalisation of the Kummer–Schwarz Equation and find that the algebraic and singularity properties of this class of equations display an attractive set of patterns. We demonstrate that all members of this class are readily integrable.
URI: http://hdl.handle.net/10321/2319
ISSN: 0971-3514 (print)
0974-6870 (online)
Appears in Collections:Research Publications (Applied Sciences)

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