39 citations · 66 across the 5 of their papers we have counts for
5 papers
Symplectic Integrators in Corotating Coordinates
Xiongbiao Tu, Qiao Wang, Yifa Tang
The dynamic equation of mass point in rotating coordinates is governed by Coriolis and centrifugal force, besides a corotating potential relative to frame. Such a system is no long…
Meshless Methods for Magnetohydrodynamics with Vector Potential
Xiongbiao Tu, Qiao Wang, Haonan Zheng +1
We present a meshless method for magnetohydrodynamics by evolving the vector potential of magnetic fields. A novel scheme and numerical techniques are developed to restrict the div…
Discrete and continuous coupled nonlinear integrable systems via the dressing method
Gino Biondini, Qiao Wang
A discrete analogue of the dressing method is presented and used to derive integrable nonlinear evolution equations, including two infinite families of novel continuous and discret…
Whitham modulation theory for the two-dimensional Benjamin-Ono equation
Mark J. Ablowitz, Gino Biondini, Qiao Wang
Whitham modulation theory for the two dimensional Benjamin-Ono (2DBO) equation is presented. A system of five quasi-linear first-order partial differential equations is derived. Th…
Whitham modulation theory for the Kadomtsev-Petviashvili equation
Mark J. Ablowitz, Gino Biondini, Qiao Wang
The genus-1 KP-Whitham system is derived for both variants of the Kadomtsev-Petviashvili (KP) equation (namely, the KPI and KPII equations). The basic properties of the KP-Whitham…