Abstract
We discuss the parametrization of real finite-gap solutions of an integrable equation by frequency and wavenumber vectors. This parametrization underlies perturbation and averaging theories for the finite-gap solutions. Out of the framework of integrable equations, the parametrization gives a convenient coordinate system on the corresponding manifold of Riemann curves.
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Bikbaev, R.F., Kuksin, S.B. On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. krichever. Lett Math Phys 28, 115–122 (1993). https://doi.org/10.1007/BF00750304
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DOI: https://doi.org/10.1007/BF00750304