62 citations · 66 across the 10 of their papers we have counts for
11 papers
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…
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…
Riemann-Hilbert problem and long-time asymptotics of the Yajima-Oikawa equation
Deng-Shan Wang, Yingmin Yang, Xiaodong Zhu
The Yajima-Oikawa equation is an integrable long wave-short wave resonance interaction model arising as a deformation of the Zakharov system for Langmuir waves coupled to ion-acous…
Long-time asymptotics of the Sawada-Kotera equation on the line
Deng-Shan Wang, Xiaodong Zhu
The Sawada-Kotera (SK) equation is an integrable system characterized by a third-order Lax operator and is related to the modified Sawada-Kotera (mSK) equation through a Miura tran…
Genus two KdV soliton gases and their long-time asymptotics
Deng-Shan Wang, Dinghao Zhu, Xiaodong Zhu
This paper employs the Riemann-Hilbert problem to provide a comprehensive analysis of the asymptotic behavior of the high-genus Korteweg-de Vries soliton gases. It is demonstrated…
Long-time asymptotics of the Tzitzéica equation on the line
Lin Huang, Deng-Shan Wang, Xiaodong Zhu
In this paper, the renowned Riemann-Hilbert method is employed to investigate the initial value problem of Tzitzéica equation on the line. Initially, our analysis focuses on elucid…
Miura transformations and large-time behaviors of the Hirota-Satsuma equation
Deng-Shan Wang, Cheng Zhu, Xiaodong Zhu
The good Boussinesq equation has several modified versions such as the modified Boussinesq equation, Mikhailov-Lenells equation and Hirota-Satsuma equation. This work builds the fu…
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…