136 citations · 272 across the 12 of their papers we have counts for
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Splitting instability of cellular structures in the Ginzburg-Landau model under the feedback control
Hidetsugu Sakaguchi
We study numerically a Ginzburg-Landau type equation for micelles in two dimensions. The domain size and the interface length of a cellular structure are controlled by two feedback…
Scaling Relations of Viscous Fingers in Anisotropic Hele-Shaw Cells
Hidetsugu Sakaguchi, Kazutaka Noto
Viscous fingers in a channel with surface tension anisotropy are numerically studied. Scaling relations between the tip velocity v, the tip radius and the pressure gradient are inv…
Gap solitons in quasiperiodic optical lattices
Hidetsugu Sakaguchi, Boris A. Malomed
Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed…
Two-dimensional loosely and tightly bound solitons in optical lattices and inverted traps
H. Sakaguchi, B. A. Malomed
We study the dynamics of nonlinear localized excitations (solitons) in two-dimensional (2D) Bose-Einstein condensates (BECs) with repulsive interactions, loaded into an optical lat…