✦ LIBER ✦

Lie-Theoretical Generalization and Discretization of the Pinney Equation

✍ Scribed by C Rogers; W.K Schief; P Winternitz

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 242 KB
Volume: 216
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5674

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✦ Synopsis

A Lie group approach is adopted to construct generalized Pinney equations of two distinct types which admit nonlinear superposition principles. The procedure also provides a route to discretizations of these Pinney equations which preserves the property of admittance of a nonlinear superposition principle. To conclude, underlying linearizations are placed in the context of results for C-integrable nonlinear Schrodinger equations.

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