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Combined Sundman–Darboux transformations and solutions of nonlinear ordinary differential equations of second order
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Axel Schulze-Halberg
Published/Copyright:
March 27, 2012
Abstract.
We construct a new solution-generating mapping between nonlinear, ordinary differential equations of second order, based on a combination of Sundman and Darboux transformations.
Keywords.: Nonlinear ordinary differential equation of second order; Sundman transformation; Darboux transformation
Received: 2011-01-13
Revised: 2011-12-10
Accepted: 2011-12-10
Published Online: 2012-03-27
Published in Print: 2012-April
© 2012 by Walter de Gruyter Berlin Boston
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- Spectrum of the finite Dunkl transform operator and Donoho–Stark uncertainty principle
- A priori estimates of Nodal solutions on the annulus for some PDE and their Morse index
- Combined Sundman–Darboux transformations and solutions of nonlinear ordinary differential equations of second order
- Multiresolution analysis on local fields and characterization of scaling functions
- Multiplicity of positive solution of -Laplacian problems with sign-changing weight functions
- Small gaps Fourier series and generalized variations
- Central limit theorems for radial random walks on matrices for
Keywords for this article
Nonlinear ordinary differential equation of second order;
Sundman transformation;
Darboux transformation
Articles in the same Issue
- Masthead
- Spectrum of the finite Dunkl transform operator and Donoho–Stark uncertainty principle
- A priori estimates of Nodal solutions on the annulus for some PDE and their Morse index
- Combined Sundman–Darboux transformations and solutions of nonlinear ordinary differential equations of second order
- Multiresolution analysis on local fields and characterization of scaling functions
- Multiplicity of positive solution of -Laplacian problems with sign-changing weight functions
- Small gaps Fourier series and generalized variations
- Central limit theorems for radial random walks on matrices for
