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Analysis of institutional authors

Zurro, Maria-AngelesAuthor

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July 16, 2019
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Rational KdV Potentials and Differential Galois Theory

Publicated to:Symmetry Integrability and Geometry-Methods and Applications. 15 (047): - 2019-01-01 15(047), DOI: 10.3842/SIGMA.2019.047

Authors: Jimenez, Sonia; Morales-Ruiz, Juan J.; Sanchez-Cauce, Raquel; Zurro, Maria-Angeles;

Affiliations

      ;Junta Castilla & Leon, Salamanca, Spain;Univ Politecn Madrid, Dept Matemat Aplicada, ETS Edificac, Madrid, Spain      Universidad Politecnica de Madrid;Univ Autonoma Madrid, Dept Matemat, Madrid, Spain      Autonomous University of Madrid - Author
      Junta Castilla & Leon, Salamanca, Spain. - Author

Abstract

In this work, using differential Galois theory, we study the spectral problem of the one-dimensional Schrodinger equation for rational time dependent KdV potentials. In particular, we compute the fundamental matrices of the linear systems associated to the Schrodinger equation. Furthermore we prove the invariance of the Galois groups with respect to time, to generic values of the spectral parameter and to Darboux transformations.

Keywords

Darboux transformationsDifferential galois theoryEquationFinite-gapKdv hierarchyRational solitonsSchrodinger operatorSpectral curves

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Symmetry Integrability and Geometry-Methods and Applications, and although the journal is classified in the quartile Q4 (Agencia WoS (JCR)), its regional focus and specialization in Physics, Mathematical, give it significant recognition in a specific niche of scientific knowledge at an international level.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-08-02:

  • WoS: 1
  • Scopus: 2

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-08-02:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 3.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 4 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 2.
  • The number of mentions on the social network X (formerly Twitter): 6 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Additionally, the work has been submitted to a journal classified as Diamond in relation to this type of editorial policy.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://repositorio.uam.es/handle/10486/691483

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (ZURRO MORO, ANGELES).