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- W2016092829 abstract "A simply periodic wave in the nonlinear Toda lattice is discussed. The original solution by Toda needs to be amended, especially its dispersion relation. It is a special case of more general solutions that include the cases of expanded (or shrunk) lattices. The dispersion relation should be determined by prohibiting the expansion. This problem is investigated from the viewpoint of the inverse spectrum problem. A simply periodic solution, which corresponds to a single-gap spectrum, is explicitly expressed as a function of the spectrum by using the theories of algebraic functions and orthogonal polynomials. The parameters that connect the solution with the spectrum are introduced, and it is then shown that the one that was regarded as the dispersion relation is an inevitable relation among the parameters." @default.
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- W2016092829 date "1997-07-21" @default.
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- W2016092829 title "On the dispersion relation of simply periodic waves and the corresponding spectra in the Toda lattice" @default.
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- W2016092829 doi "https://doi.org/10.1088/0305-4470/30/14/028" @default.
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