On some generalizations of the Lax-von Neumann equations (Q2711039)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some generalizations of the Lax-von Neumann equations |
scientific article |
Statements
2 May 2001
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Lax representation
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evolution equation
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Lie algebra
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automorphism
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On some generalizations of the Lax-von Neumann equations (English)
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Some general properties of Lax representations and their generalizations are discussed. The evolution equations are replaced by ones defined on the Lie algebra \(gl(N,K)\) associated to the Lie group \(GL(N,K)\) of all \(N\times N\) nonsingular matrices over the field \(K\). The author considers generalizations of the Lax-von Neumann equations whose right hand side are constructed by some automorphisms and anti-automorphisms of \(gl(N,R)\). Some examples illustrating the method are also given.NEWLINENEWLINEFor the entire collection see [Zbl 0944.00084].
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