620 citations · 4.2k across the 59 of their papers we have counts for
59 papers
A $\dbar$-steepest descent method for oscillatory Riemann-Hilbert problems
Fudong Wang, Wen-Xiu Ma
We study the asymptotic behavior of Riemann-Hilbert problems (RHP) arising in the AKNS hierarchy of integrable equations. Our analysis is based on the $\dbar$-steepest descent meth…
Long-time asymptotic behaviour for the fifth order modified Korteweg-de Vries equation
Fudong Wang, Wen-Xiu Ma
Following Deift-Zhou's nonlinear steepest descent method, the long-time asymptotic behavior for the Cauchy problem of the 5th order modified Korteweg-de Vries equation is analyzed.…
Integrable couplings of a generalized D-Kaup-Newell hierarchy and their Hamiltonian structures
Morgan McAnally, Wen-Xiu Ma
We enlarge the spectral problem of a generalized D-Kaup-Newell (D-KN) spectral problem. Solving the enlarged zero-curvature equations, we produce integrable couplings. A reduction…
An initial-boundary value problem for the coupled focusing-defocusing complex short pulse equation with a Lax pair
Beibei Hu, Tiecheng Xia, Wen-xiu Ma
In this paper we investigate the coupled focusing-defocusing complex short pulse equation, which describe the propagation of ultra-short optical pulses in cubic nonlinear media. Th…
Conservation laws by symmetries and adjoint symmetries
Wen-Xiu Ma
Conservation laws are formulated for systems of differential equations by using symmetries and adjoint symmetries, and an application to systems of evolution equations is made, tog…
Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures
Beibei Hu, Wen-Xiu Ma, Tiecheng Xia +1
In this paper, a new generalized matrix spectral problem of Ablowitz-Kaup-Newell-Segur(AKNS) type associated with the enlarged matrix Lie super algebra is proposed and i…