Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


Special Issue on Painlevé Equations and Applications in Memory of Andrei Kapaev

The Guest Editors for this special issue are

Percy Deift (New York University, USA)
Boris Dubrovin (SISSA, Italy)
Tamara Grava (University of Bristol, UK and SISSA, Italy)
Alexander Its (Indiana University - Purdue University Indianapolis, USA)
Peter Miller (University of Michigan, USA)


The topics for this special issue will include:

  • discrete and continuous Painlevé equations;
  • Riemann–Hilbert and isomonodromic methods;
  • Bäcklund transformations and other direct methods;
  • particular solutions and their properties;
  • asymptotic analysis of solutions and solution families;
  • applications of Painlevé equations in pure and applied mathematics;
  • computational methods for Painlevé equations.

This issue is partly related to the workshop Painlevé Equations and Applications held at the University of Michigan, August 25–29, 2017. It also serves to honor the memory of Andrei Kapaev, who made many important contributions to the field and who passed away unexpectedly while still very young and active.

Workshop participants and others whose work is concerned with the above topics are invited to submit papers to the special issue. For this issue, both original research articles and review papers are welcome.

There are no paper length limits to the submitted works. Deadline for the submission is March 31, 2018.

Submission Rules for Articles to the Issue.

All articles will go through the standard peer reviewing procedure of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. The reviewing process starts once the paper is submitted and we will publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.


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