83 citations · 85 across the 3 of their papers we have counts for
5 papers
The short pulse equation by a Riemann-Hilbert approach
Anne Boutet de Monvel, Dmitry Shepelsky, Lech Zielinski
We develop a Riemann-Hilbert approach to the inverse scattering transform method for the short pulse (SP) equation with zero boundary conditions (a…
Seiberg-Witten theory as a Fermi gas
Giulio Bonelli, Alba Grassi, Alessandro Tanzini
We explore a new connection between Seiberg-Witten theory and quantum statistical systems by relating the dual partition function of SU(2) Super Yang-Mills theory in a self-dual Om…
Long-time asymptotics for the Degasperis-Procesi equation on the half-line
A. Boutet de Monvel, J. Lenells, D. Shepelsky
We analyze the long-time asymptotics for the Degasperis--Procesi equation on the half-line. By applying nonlinear steepest descent techniques to an associated -matrix v…
New Applications of Quantum Algebraically Integrable Systems in Fluid Dynamics
Anne Boutet de Monvel, Igor Loutsenko, Oksana Yermolayeva
The rational quantum algebraically integrable systems are non-trivial generalizations of Laplacian operators to the case of elliptic operators with variable coefficients. We study…
The Degasperis-Procesi equation on the half-line
Jonatan Lenells
We analyze a class of initial-boundary value problems for the Degasperis-Procesi equation on the half-line. Assuming that the solution exists, we show that it can be recov…