13 citations · 13 across the 2 of their papers we have counts for
3 papers
nlin.SI2023
Explicit lump and line rogue wave solutions to a modified Hietarinta equation
Solomon Manukure, Morgan McAnally, Yuan Zhou +2
Lump solutions are spatially rationally localized solutions which usually arise as solutions to higher dimensional nonlinear partial differential equations often possessing Hirota…
math.AP2022
Interior Hölder regularity for stable solutions to semilinear elliptic equations up to dimension 5
Fa Peng, Yi Ru-Ya Zhang, Yuan Zhou
Let . We establish an apriori interior Hölder regularity of -stable solutions to the semilinear equation in any domain of for any nonlinearity $f…
nlin.SI2016★ 13 cited
Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
Wen-Xiu Ma, Yuan Zhou
Lump solutions are analytical rational function solutions localized in all directions in space. We analyze a class of lump solutions, generated from quadratic functions, to nonline…