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. © 2009 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Shabat, A. (2009). Symmetries of spectral problems. Lecture Notes in Physics, 767, 139–173. https://doi.org/10.1007/978-3-540-88111-7_5
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