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Finding solitons
(American Mathematical Society, 2020-05)
On each solvable Lie group, there is at most one solv- soliton up to isometry and scaling. This allows us to en- dow several Lie groups that do not admit Einstein metrics (e.g., nilpotent or unimodular solvable Lie groups) ...
Dynamics of chiral solitons driven by polarized currents in monoaxial helimagnets
(Nature, 2020-12)
Chiral solitons are one dimensional localized magnetic structures that are metastable in some ferromagnetic systems with Dzyaloshinskii–Moriya interactions and/or uniaxial magnetic anisotropy. Though topological textures ...
Maxwell-Higgs self-dual solitons on an infinite cylinder
(World Scientific, 2015-09)
We have studied the Maxwell-Higgs model on the surface of an infinite cylinder. In particular, we show that this model supports self-dual topological soliton solutions on the infinite tube. Finally, the Bogomol'nyi-type ...
Topological Solitons I: Sigma Models
(Facultad Experimental de Ciencias de la Universidad del Zulia, 2011)
Topological solitons II: CP1 s-model
(Facultad Experimental de Ciencias de la Universidad del Zulia, 2010)
BBS invariant measures with independent soliton components
(Univ Washington, 2020-06)
The Box-Ball System (BBS) is a one-dimensional cellular automaton in the configuration space { 0 , 1 } ^Z introduced by Takahashi and Satsuma [8], who identified conserved quantities called solitons. Ferrari, Nguyen, Rolla ...
Stochastic dissipative solitons
(American Physical Society, 2015-09)
By the effect of aggregating currents, some systems display an effective diffusion coefficient that becomesnegative in a range of the order parameter, giving rise to bistability among homogeneous states (HSs). By applyinga ...