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math-ph2023
Soliton resolution and asymptotic stability of -loop-soliton solutions for the Ostrovsky-Vakhnenko equation
Ruihong Ma, Engui Fan
The Ostrovsky-Vakhnenko (OV) equation \begin{align*} &u_{txx}-3κu_x+3u_xu_{xx}+uu_{xxx}=0 \end{align*} is a short wave model of the well-known Degasperis-Procesi equation and admit…
math.AP2023
The asymptotic stability of solitons in the focusing Hirota equation on the line
Ruihong Ma, Engui Fan
In this paper, the -steepest descent method and Bäcklund transformation are used to study the asymptotic stability of solitons to the Cauchy problem of focusing…