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nlin.SI2024
Genus two KdV soliton gases and their long-time asymptotics
Deng-Shan Wang, Dinghao Zhu, Xiaodong Zhu
This paper employs the Riemann-Hilbert problem to provide a comprehensive analysis of the asymptotic behavior of the high-genus Korteweg-de Vries soliton gases. It is demonstrated…
math-ph2024★ 4 cited
Long-time asymptotics of the Tzitzéica equation on the line
Lin Huang, Deng-Shan Wang, Xiaodong Zhu
In this paper, the renowned Riemann-Hilbert method is employed to investigate the initial value problem of Tzitzéica equation on the line. Initially, our analysis focuses on elucid…
nlin.SI2024
Miura transformations and large-time behaviors of the Hirota-Satsuma equation
Deng-Shan Wang, Cheng Zhu, Xiaodong Zhu
The good Boussinesq equation has several modified versions such as the modified Boussinesq equation, Mikhailov-Lenells equation and Hirota-Satsuma equation. This work builds the fu…