Lax algebra for the AKNS system (Q1179948)
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scientific article; zbMATH DE number 26783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lax algebra for the AKNS system |
scientific article; zbMATH DE number 26783 |
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Lax algebra for the AKNS system (English)
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27 June 1992
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The authors investigate algebraic structures related to nonlinear evolution equations. Specifically, they consider the AKNS spectral problem in the form \(L\varphi=\lambda\varphi\) and give a modified definition of the associated Lax operator as a polynomial in \(L\). The main theorem states that the linear space of all Lax operators is an infinite dimensional Lie algebra under a suitably defined Lie product.
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AKNS system
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Lax algebra
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algebraic structures related to nonlinear evolution equations
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AKNS spectral problem
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Lax operator
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infinite dimensional Lie algebra
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Lie product
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