Reference health
Geometry of KDV (4): Abel sums, Jacobi variety, and theta function in the scattering case
14/14 checkable references clean · checked 2026-08-11
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
11 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 14 checked references that resolve
resolves10.1002/cpa.3160300106
Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem
resolves10.1007/BF01078187
Degenerate elliptic curves and resolution of uni- and bimodal singularities
resolves10.1002/cpa.3160410103
The infinite period limit of the inverse formalism for periodic potentials
The 11 references without a DOI — listed, not checked
no DOI — not checkedBaker, H.: Theorem and the Allied Theory, Including the Theory of the Theta Function. Cambridge: Cambridge University Press 1897
no DOI — not checkedBirnir, B.: Complex Hill's equation and the complex periodic korteweg-de Vries equation. Commun. Pure Appl. Math.39, 2 (1986)
no DOI — not checkedBuslaev, V.S., Faddeev, L.D., Takhtajian, L.A.: Scattering theory for the KDV equation and its Hamiltonian interpretation. Physica18D, 255 (1986)
no DOI — not checkedDarboux, L.: Sur une proposition relative aux équations linéaires. CR Acad. Sci. Paris94, 1456 (1882)
no DOI — not checkedErcolani, N.M., McKean, H.P.: A Quick Proof of Fay's Secant Formulae. 1988
no DOI — not checkedFaddeev, L.: On the relation between theS-matrix and the potential of the one-dimensional Schrödinger equation. Tr. Mat. Inst. Stekolva73, 314 (1964); AMST65, 139
no DOI — not checkedGelfand, I.M., Levitan, B.: On the determination of a differential equation from its spectral function. Izv. Mat., Nauk.15, 309 (1951); AMST1, 253 (1955)
no DOI — not checkedMarcenko, V.A.: The construction of the potential energy from the phases of the scattered waves. Dokl., Akad. Nauk. SSSR104, 695 (1955)
no DOI — not checkedMarcenko, V., Ostrovskii, I.V.: A characterization of the spectrum of Hill's operator. Sov. Math. Dokl.16, 761 (1975); Mat. Sbornik139, 540 (1975)
no DOI — not checkedMcKean, H.P.: Theta functions, solutions and singular curves. In: Byrnes, C.I (ed.) PDE and Geometry. Proc. Park City Conference (1977) p. 237
no DOI — not checkedMcKean, H.P.: Geometry of KDV (1): Addition and the unimodular spectral classes. Rev. Math. Hispo.-Am.2, 235 (1986)
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