6 citations · 6 across the 3 of their papers we have counts for
3 papers
math-ph2024
A Riemann-Hilbert approach to the two-component modified Camassa-Holm equation
Kai Xu, Luman Ju, Engui Fan
In this paper, we develop a Riemann-Hilbert (RH) approach to the Cauchy problem for the two-component modified Camassa-Holm (2-mCH) equation based on its Lax pair. Further via a se…
math.AP2023
Long-time asymptotic behavior of the Hunter-Saxton equation
Luman Ju, Kai Xu, Engui Fan
With -generalization of the Deift-Zhou steepest descent method, we investigate the long-time asymptotics of the solution to the Cauchy problem for the Hunter-Saxton…
math-ph2022★ 6 cited
Painleve-type asymptotics for the defocusing Hirota equation in transition region
Weikang Xun, Luman Ju, Engui Fan
We consider the Cauchy problem for the classical Hirota equation on the line with decaying initial data. Based on the spectral analysis of the Lax pair of the Hirota equation, we f…