Lie algebraic approach to \(\tau\)-functions and its equations (Q1079741)
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scientific article; zbMATH DE number 3964552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lie algebraic approach to \(\tau\)-functions and its equations |
scientific article; zbMATH DE number 3964552 |
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Lie algebraic approach to \(\tau\)-functions and its equations (English)
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1986
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A general construction of equations satisfied by the components of \(\tau\)-functions is given by considering the tensor product of modules. As an example, the homogeneous basic realization of \(\hat A_ 1\) is given, leading to nonlinear Schrödinger equations.
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nonlinear systems
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basic representation
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highest weight modules
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Kac- Moody algebras
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\(\tau \) -functions
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nonlinear Schrödinger equations
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0.7385990023612976
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