Lie-theoretical generalization and discretization of the Pinney equation

[摘要] 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. (C) 1997 Academic Press.

[发布日期] 1997-12-01