The D-bar approach to inverse scattering and nonlinear evolutions (Q1089521)
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scientific article; zbMATH DE number 4004782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The D-bar approach to inverse scattering and nonlinear evolutions |
scientific article; zbMATH DE number 4004782 |
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The D-bar approach to inverse scattering and nonlinear evolutions (English)
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1986
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The inverse scattering method for solving nonlinear equations can be considered as the inversion of a complex differential equation, the \({\bar \partial}\)-equation. This viewpoint applies to multidimensional problems. The Davey-Stewartson and self-dual Yang-Mills equations and associated hierarchies are discussed, as well as the Schrödinger equation in \({\mathbb{R}}^ 3\).
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inverse scattering method
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inversion
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complex differential equation
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\({\bar \partial }\)-equation
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Davey-Stewartson
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self-dual Yang-Mills
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Schrödinger equation
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