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…
Arbitrary-genus dark soliton gases in the defocusing nonlinear Schrödinger hydrodynamics
Marco Bertola, Deng-Shan Wang, Peng Yan +1
The defocusing nonlinear Schrödinger hydrodynamics supports exact dark solitons under finite density boundary conditions. However, the dark soliton gas, an interacting ensemble of…
Long-time asymptotics of the Newell equation on the line
Deng-Shan Wang, Yingmin Yang
In 1978, A. C. Newell [SIAM J. Appl. Math. 35(4) (1978) 650-664] proposed an exactly solvable model called Newell equation, which simulates the investigation of significant interac…