On the spectral parameter problem

Details On the spectral parameter problem On the spectral parameter problem

2008-04-12

arxiv.org/abs/0804.2031v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages; v2: mainly corrected exposition (esp. the examples) and added references

Scientific paper

We consider the problem whether a nonparametric zero-curvature representation
can be embedded into a one-parameter family within the same Lie algebra. After
introducing a computable cohomological obstruction, a method using the
recursion operator to incorporate the parameter is discussed.

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