11 citations · 22 across the 5 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
nlin.PS2021
Twenty-Five Years of Dissipative Solitons
Ivan C. Christov, Zongxin Yu
In 1995, C. I. Christov and M. G. Velarde introduced the concept of a dissipative soliton in a long-wave thin-film equation [Physica D 86, 323--347]. In the 25 years since, the sub…
nlin.PS2021★ 4 cited
Long-wave equation for a confined ferrofluid interface: Periodic interfacial waves as dissipative solitons
Zongxin Yu, Ivan C. Christov
We study the dynamics of a ferrofluid thin film confined in a Hele-Shaw cell, and subjected to a tilted nonuniform magnetic field. It is shown that the interface between the ferrof…