From the 2 of 9 linked papers with an AI index.
9 papers
Riemann-Hilbert problem and long-time asymptotics of the Yajima-Oikawa equation
Deng-Shan Wang, Yingmin Yang, Xiaodong Zhu
The paper develops a Riemann‑Hilbert framework for the Cauchy problem of the Yajima‑Oikawa equation, establishing direct and inverse scattering theory, constructing soliton solutio…
On the direct scattering theory for the Calogero-Moser derivative nonlinear Schrödinger equation
Sun Ruoci, Wang Deng-shan, Zhao Yi
The paper develops the direct scattering transform for the Calogero‑Moser derivative nonlinear Schrödinger equation on the real line, proving existence of Jost functions, construct…
Soliton gas for the derivative nonlinear Schrödinger equation: continuum dbar-problem, genus reduction and asymptotics
Deng-Shan Wang, 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…
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 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 eluci…