133 citations · 608 across the 48 of their papers we have counts for
7 papers · 1 filter
Global dynamics of small solutions to the modified fractional Korteweg-de Vries and nonlinear Schrödinger equations
Jean-Claude Saut, Yuexun Wang
This paper concerns the modified fractional Korteweg-de Vries (modified fKdV) and nonlinear Schrödinger (modified fNLS) equations, with the dispersions |D|^α\partial_x and |D|^{α+1…
On the modified fractional Korteweg-de Vries and related equations
C. Klein, J. -C. Saut, Yuexun Wang
We consider in this paper modified fractional Korteweg-de Vries and related equations (modified Burgers-Hilbert and Whitham). They have the advantage with respect to the usual frac…
Long time existence for a two-dimensional strongly dispersive Boussinesq system
Jean-Claude Saut, Li Xu
We prove a long time existence result for the solutions of a two-dimensional Boussinesq system modeling the propagation of long, weakly nonlinear water waves. This system is except…
Global well-posedness and scattering for the Dysthe equation in
Razvan Mosincat, Didier Pilod, Jean-Claude Saut
This paper focuses on the Dysthe equation which is a higher order approximation of the water waves system in the modulation (Schrödinger) regime and in the infinite depth case. We…
The wave breaking for Whitham-type equations revisited
Jean-Claude Saut, Yuexun Wang
We prove wave breaking (shock formation) for some Whitham-type equations which include the Burgers-Hilbert equation, the fractional Korteweg-de Vries equation, and the classical Wh…
Dispersive estimates for full dispersion KP equations
Didier Pilod, Jean-Claude Saut, Sigmund Selberg +1
We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev-Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Ka…