2 papers
math-ph2026
On the Cauchy Problem for the Sawada-Kotera Equation: Soliton resolution conjecture, Painlevé transcendents and asymptotic stability
Zheng-Kang Huang, Shou-Fu Tian
We derive long-time asymptotics in different space-time regions for the Sawada-Kotera (SK) equation with admissible data involving continuous spectrum and finite discrete spectrum.…
nlin.SI2021
Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation
Xiao-Fan Zhang, Shou-Fu Tian, Jin-Jie Yang
In this work, we mainly study the general -soliton solutions of the nonlocal modified Korteweg-de Vries (mKdV) equation by utilizing the Riemann-Hilbert (RH) method. For the ini…