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math.AP2021★ 2 cited
From KP-I lump solution to travelling waves of Gross-Pitaevskii equation
Yong Liu, Zhengping Wang, Juncheng Wei +1
Let be an nondegenerate lump solution to KP-I (Kadomtsev-Petviashvili-I) equation $$\partial_x^4q-2\sqrt{2}\partial_x^2q-3\sqrt{2}\partial_x((\partial_xq) ^2)-2\partial_y^…
math.AP2021
Entire solutions of the magnetic Ginzburg-Landau equation in
Yong Liu, Xinan Ma, Juncheng Wei +1
We construct entire solutions of the magnetic Ginzburg-Landau equations in dimension 4 using Lyapunov-Schmidt reduction. The zero set of these solutions are close to the minimal su…
math.AP2021
Generalized Adler-Moser Polynomials and Multiple vortex rings for the Gross-Pitaevskii equation
Weiwei Ao, Yehui Huang, Yong Liu +1
New finite energy traveling wave solutions with small speed are constructed for the three dimensional Gross-Pitaevskii equation \begin{equation*} iΨ_t= ΔΨ+(1-|Ψ|^2)Ψ, \end{equation…