Special Issue "Nonlinear Schrödinger Equations"

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 31 December 2023 | Viewed by 795

Special Issue Editor

Institut de Mathématiques de Toulouse, Toulouse School of Economics, Toulouse, France
Interests: qualitative properties of solutions to nonlinear Schrödinger equations; asymptotic behaviour; existence; uniqueness; finite time extinction

Special Issue Information

Dear Colleagues,

Schrödinger equations (linear and nonlinear) have been of great interest to mathematicians around the world for more than 40 years now. For this Special Issue, we are interested by innovative results concerning these equations. The scope of this Special Issue covers both theoretical and numerical results such as existence and uniqueness, blow-up, asymptotic behaviour, study of solitons, bound (or ground) state of solutions, self-similar solutions and numerical analysis and simulations.

Prof. Dr. Pascal Bégout
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • nonlinear Schrödinger equations
  • asymptotic behaviour
  • blow-up
  • existence
  • uniqueness and non-uniqueness
  • smoothness
  • self-similar solutions
  • solitons
  • stability
  • numerical analysis
  • numerical simulations

Published Papers

This special issue is now open for submission.
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