62 citations · 66 across the 10 of their papers we have counts for
4 papers · 1 filter
Soliton gas for the derivative nonlinear Schrödinger equation: continuum dbar-problem, genus reduction and asymptotics
Deng-Shan Wang, Xinyu Wang
A soliton gas theory for the derivative nonlinear Schrödinger equation is developed, focusing on the Gerdjikov-Ivanov equation and using its gauge equivalence with the Kaup-Newell…
On the direct scattering theory for the Calogero-Moser derivative nonlinear Schrödinger equation
Sun Ruoci, Wang Deng-shan, Zhao Yi
This paper establishes the direct scattering transform for the Calogero-Moser derivative nonlinear Schrödinger (CMDNLS) equation on the real line. For potentials in a weighted Hard…
Long-time asymptotics of the good Boussinesq equation and its modified version: Painlevé region
Deng-Shan Wang, Xiaodong Zhu
Under suitable solitonless assumptions on the associated scattering data, we rigorously establish the long-time asymptotics of the modified Boussinesq equation in the Painlevé regi…
The "good'' Boussinesq equation: long-time asymptotics
C. Charlier, J. Lenells, D. Wang
We consider the initial-value problem for the ``good'' Boussinesq equation on the line. Using inverse scattering techniques, the solution can be expressed in terms of the solution…