Nonlinear evolution equations and their stationary reductions (Q1303361)
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scientific article; zbMATH DE number 1337594
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear evolution equations and their stationary reductions |
scientific article; zbMATH DE number 1337594 |
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Nonlinear evolution equations and their stationary reductions (English)
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29 September 1999
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This note is devoted to the relationship between an integrable nonlinear evolution equation (PDE) and its stationary flow. The authors are interested in the reduction of the infinite dimensional Hamiltonian structures to their finite dimensional counterparts. They give a systematic construction of \(x-t\) reversed equations and their Hamiltonian properties, using their isospectral properties.
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integrable nonlinear evolution equation
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stationary flow
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infinite dimensional Hamiltonian structures
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