273 citations
- Université de BourgogneFR417 papers
- Centre National de la Recherche ScientifiqueFR227 papers
- Université Bourgogne Franche-ComtéFR51 papers
- Laboratoire de Mathématiques Blaise PascalFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Sorbonne UniversitéFR12 papers
- Université Paris-SudFR12 papers
- Institut de Mathématiques de BordeauxFR11 papers
- Institut Montpelliérain Alexander GrothendieckFR10 papers
- Laboratoire de Mathématiques d'OrsayFR10 papers
- Laboratoire de Physique de l'ENS de LyonFR10 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR10 papers
8 papers · 2 filters
Computational approach to compact Riemann surfaces
J. Frauendiener, C. Klein
A purely numerical approach to compact Riemann surfaces starting from plane algebraic curves is presented. The critical points of the algebraic curve are computed via a two-dimensi…
On critical behaviour in generalized Kadomtsev--Petviashvili equations
Boris Dubrovin, Tamara Grava, Christian Klein
An asymptotic description of the formation of dispersive shock waves in solutions to the generalized Kadomtsev--Petviashvili (KP) equation is conjectured. The asymptotic descriptio…
Antiperiodic dynamical 6-vertex model by separation of variables II: Functional equations and form factors
D. Levy-Bencheton, G. Niccoli, V. Terras
We pursue our study of the antiperiodic dynamical 6-vertex model using Sklyanin's separation of variables approach, allowing in the model new possible global shifts of the dynamica…
On determinant representations of scalar products and form factors in the SoV approach: the XXX case
N. Kitanine, J. M. Maillet, G. Niccoli +1
In the present article we study the form factors of quantum integrable lattice models solvable by the separation of variables (SoV) method. It was recently shown that these models…
Shock formation in the dispersionless Kadomtsev-Petviashvili equation
T. Grava, C. Klein, J. Eggers
The dispersionless Kadomtsev-Petviashvili (dKP) equation is one of the simplest nonlinear wave equations describing two-dimensional shocks. To solve the dKP e…
Multi-parametric solutions to the NLS equation
Pierre Gaillard
The structure of the solutions to the one dimensional focusing nonlin-ear Schr{ö}dinger equation (NLS) for the order N in terms of quasi rational functions is given here. We first…