Combined Sundman-Darboux transformations and solutions of nonlinear ordinary differential equations of second order (Q2882906)
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scientific article; zbMATH DE number 6032980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Combined Sundman-Darboux transformations and solutions of nonlinear ordinary differential equations of second order |
scientific article; zbMATH DE number 6032980 |
Statements
11 May 2012
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nonlinear ordinary differential equations of second order
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Sundman transformation
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Darboux transformation
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Combined Sundman-Darboux transformations and solutions of nonlinear ordinary differential equations of second order (English)
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A method for the construction of a solution-generating mapping between nonlinear ordinary differential equations of second order is proposed. The method is based on the consecutive application of Sundman (nonlinear equation to linear one), Darboux (linear equation to linear one), and Sundman (linear equation to nonlinear one) transformations. Three examples for illustration of the given method are considered.
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0.7951084971427917
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0.773173451423645
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0.7713993191719055
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