The algebraic structure related to \(L\)-\(A\)-\(B\) triad representations of integrable systems (Q1202813)
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scientific article; zbMATH DE number 109354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The algebraic structure related to \(L\)-\(A\)-\(B\) triad representations of integrable systems |
scientific article; zbMATH DE number 109354 |
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The algebraic structure related to \(L\)-\(A\)-\(B\) triad representations of integrable systems (English)
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23 February 1993
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The compatibility conditions yielding evolution equations integrable by the inverse scattering transform, given in Manakov triad representation \(\dot L=[A,L]+B \cdot L\) are studied. The algebraic structure revealed provides a generalization of the results obtained in the case of Lax pair representation.
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integrable systems
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inverse scattering method
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inverse scattering transform
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Manakov triad representation
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Lax pair
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