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math.AP2025
Long-time asymptotics of the good Boussinesq equation and its modified version: Painlevé region
Deng-Shan Wang, Xiaodong Zhu
Under suitable solitonless assumptions on the associated scattering data, we rigorously establish the long-time asymptotics of the modified Boussinesq equation in the Painlevé regi…
nlin.SI2025
Riemann-Hilbert problem and long-time asymptotics of the Yajima-Oikawa equation
Deng-Shan Wang, Yingmin Yang, Xiaodong Zhu
The Yajima-Oikawa equation is an integrable long wave-short wave resonance interaction model arising as a deformation of the Zakharov system for Langmuir waves coupled to ion-acous…
nlin.SI2025
Long-time asymptotics of the Sawada-Kotera equation on the line
Deng-Shan Wang, Xiaodong Zhu
The Sawada-Kotera (SK) equation is an integrable system characterized by a third-order Lax operator and is related to the modified Sawada-Kotera (mSK) equation through a Miura tran…