• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site
Of all publications in the section: 23
Sort:
by name
by year
Article
Smirnov A., Matveenko S., Semenova E. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2015. Vol. 11.

In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We also study the dependency of the solution parameters on the spectral curves.

Added: Oct 15, 2015
Article
Cruz Morales J. A., Galkin S. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2013. Vol. 9. No. 005. P. 1-13.

In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the upper bounds from [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126 (2005), 1–52].

Added: May 27, 2013
1 2