42 citations · 45 across the 5 of their papers we have counts for
4 papers · 1 filter
Higher order Airy and Painlevé asymptotics for the mKdV hierarchy
Lin Huang, Lun Zhang
In this paper, we consider Cauchy problem for the modified Korteweg-de Vries hierarchy on the real line with decaying initial data. Using the Riemann--Hilbert formulation and nonli…
Asymptotics for the Sasa--Satsuma equation in terms of a modified Painlevé II transcendent
Lin Huang, Jonatan Lenells
We consider the initial-value problem for the Sasa-Satsuma equation on the line with decaying initial data. Using a Riemann-Hilbert formulation and steepest descent arguments, we c…
Nonlinear Fourier transforms for the sine-Gordon equation in the quarter plane
Lin Huang, Jonatan Lenells
The solution of the sine-Gordon equation in the quarter plane can be expressed in terms of the solution of a matrix Riemann-Hilbert problem whose definition involves four spectral…
Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane
Lin Huang, Jonatan Lenells
We consider the sine-Gordon equation in laboratory coordinates in the quarter plane. The first part of the paper considers the construction of solutions via Riemann-Hilbert techniq…