Reference health
Long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation
23/23 checkable references clean · checked 2026-07-24
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.
7 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 23 checked references that resolve
resolves10.1088/0266-5611/23/4/021
Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions
resolves10.1063/1.1666479
The decay of the continuous spectrum for solutions of the Korteweg-deVries equation
resolves10.1016/j.physleta.2005.09.053
Analytic doubly periodic wave patterns for the integrable discrete nonlinear Schrödinger (Ablowitz–Ladik) model
resolves10.2307/2946540
A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation
resolves10.1007/BF02096951
On the long time behavior of the doubly infinite toda lattice under initial data decaying at infinity
resolves10.1142/S0129055X0900358X
LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED
resolves10.1090/S0002-9939-2010-10595-6
On the spatial asymptotics of solutions of the Ablowitz–Ladik hierarchy
resolves10.1016/0167-2789(81)90124-X
Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent
resolves10.1119/1.10547
<i>Introduction</i> <i>to</i> <i>Plasma</i> <i>Physics</i> by Francis F. Chen. Reviewer
The 7 references without a DOI — listed, not checked
no DOI — not checkedM. J. Ablowitz and A. S. Fokas, Complex Variables: Introduction and Applications, Cambridge University Press, Cambridge Texts Appl. Math., 1997.
no DOI — not checkedP. A. Deift and X. Zhou, Long-time behavior of the non-focusing nonlinear Schrödinger equation – a case study, Lectures in Mathematical Sciences, No.,5, The University of Tokyo, 1994.
no DOI — not checkedS. V. Manakov, Nonlinear Fraunhofer diffraction, Zh. Eksp. Teor. Fiz., <b>65</b> (1973), 1392-1398. (in Russian)
no DOI — not checkedV. Yu. Novokshënov, Asymptotic behavior as $t\to\infty$ of the solution of the Cauchy problem for a nonlinear differential-difference Schrödinger equation, Differentsial'nye Uravneniya, <b>21</b> (1985), 1915-1926. (in Russian)
no DOI — not checkedDifferential Equations, <b>21</b> (1985), 1288-1298.
no DOI — not checkedV. Yu. Novokshënov and I. T. Habibullin, Nonlinear differential-difference schemes that are integrable by the inverse scattering method. Asymptotic behavior of the solution as $t\to\infty$, Dokl. Akad. Nauk SSSR, <b>257</b> (1981), 543-547. (in Russian)
no DOI — not checkedV. E. Zakharov and S. V. Manakov, Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method, Z. Èksper. Teoret. Fiz., <b>71</b> (1976), 203-215. (in Russian)
What this badge says. CiteStamped means the CHECKABLE references of this
work were clean at the dated check: each resolved to a known work in a public registry, and none
carried a retraction notice at that time. It says nothing about the quality, findings,
or importance of the work itself, and nothing about references deposited without a DOI.
checked 2026-07-24 — re-checked daily as this page is visited; titles and statuses come from Crossref and DataCite and are not part of the signed record
Embed this badge
Both snippets point at the live badge image and link back to this page. The badge re-renders from the daily check, so an embed never goes stale by more than a day of visits.
<a href="https://citestamp.com/citestamped/10.2969/jmsj/06630765"><img src="https://citestamp.com/citestamped/10.2969/jmsj/06630765/badge.svg" alt="CiteStamped reference-health badge" width="460" height="64"></a>
[](https://citestamp.com/citestamped/10.2969/jmsj/06630765)