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The aim of this talk is to overview our joint work with J. Eckhardt (Loughborough University, UK) on generalized indefinite strings, the object first appeared in the work of M.G. Krein and H. Langer on the indefinite moment problem. The importance of a generalized indefinite string stems, on the one hand, from the fact that it provides yet another canonical model of a self-adjoint operator with simple spectrum, and on the other hand, its connection with the Camassa-Holm equation, for which it serves as an isospectral problem/Lax operator.