2 papers
math.AP2026
On the large-time asymptotics of the defocusing mKdV equation with step-like initial data
Taiyang Xu, Yidan Zhang
We study the Cauchy problem for the defocusing modified Korteweg-de Vries (mKdV) equation with step-like initial data approaching nonzero constants and as $x \to -\inft…
math-ph2025
Soliton resolution, asymptotic stability and Painlevé transcendents in the combined Wadati-Konno-Ichikawa and short-pulse equation
Yidan Zhang, Engui Fan
In this paper, we develop a Riemann-Hilbert (RH) approach to the Cauchy problem for the combined Wadati-Konno-Ichikawa and short-pulse (WKI-SP) equation. The solution of the Cauchy…