25 citations · 27 across the 4 of their papers we have counts for
4 papers
Recent developments in spectral theory of the focusing NLS soliton and breather gases: the thermodynamic limit of average densities, fluxes and certain meromorphic differentials; periodic gases
Alexander Tovbis, Fudong Wang
In this paper we consider soliton and breather gases for one dimensional integrable focusing Nonlinear Schrödinger Equation (fNLS). We derive average densities and fluxes for such…
A Note on Electrified Droplets
Nathan Hayford, Fudong Wang
We give an in-depth analysis of a 1-parameter family of electrified droplets first described in D. Khavinson et. al. (2005). We also investigate a technique for searching for new s…
A $\dbar$-steepest descent method for oscillatory Riemann-Hilbert problems
Fudong Wang, Wen-Xiu Ma
We study the asymptotic behavior of Riemann-Hilbert problems (RHP) arising in the AKNS hierarchy of integrable equations. Our analysis is based on the $\dbar$-steepest descent meth…
Long-time asymptotic behaviour for the fifth order modified Korteweg-de Vries equation
Fudong Wang, Wen-Xiu Ma
Following Deift-Zhou's nonlinear steepest descent method, the long-time asymptotic behavior for the Cauchy problem of the 5th order modified Korteweg-de Vries equation is analyzed.…