Abstract
Deriving abelian KdV and NLS hierarchies, we describe non-abelian symmetries and “pre-Lax” elementary approach to Lax pairs. Discrete symmetries of spectral problems are considered in Sect. 4.2. Here we prove Darboux classical theorem and discuss a modern theory of dressing chains.
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Shabat, A. (2009). Symmetries of Spectral Problems. In: Mikhailov, A.V. (eds) Integrability. Lecture Notes in Physics, vol 767. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88111-7_5
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DOI: https://doi.org/10.1007/978-3-540-88111-7_5
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