13 citations · 14 across the 10 of their papers we have counts for
11 papers
Quantum-mechanical wave functions in singular potentials: linear and nonlinear states
Hidetsugu Sakaguchi, Boris A. Malomed
It is known that the attractive singular inverse-square potential gives rise to the critical quantum collapse in the framework of the three-dimensional (3D) linear Schroedinger equ…
An amended Ehrenfest theorem for the Gross-Pitaevskii equation in one- and two-dimensional potential boxes
Hidetsugu Sakaguchi, Boris A. Malomed
It is known that the usual form of the Ehrenfest theorem (ET), which couples the motion of the center of mass (COM) of the one-dimensional (1D) wave function to the respective clas…
Spontaneous symmetry breaking in continuous waves, dark solitons, and vortices in linearly coupled bimodal systems
Hidetsugu Sakaguchi, Boris A. Malomed
We introduce a model governing the copropagation of two components which represent circular polarizations of light in the optical fiber with relative strength g = 2 of the nonlinea…
Spontaneous symmetry and antisymmetry breaking in a ring with two potential barriers
Hidetsugu Sakaguchi, Boris A. Malomed, T. J. Taiwo
We propose a fundamental setup for the realization of spontaneous symmetry breaking (SSB) and spontaneous antisymmetry breaking (SASB) in the framework of the nonlinear Schroedinge…
Rotating nonlinear states in trapped binary Bose-Einstein condensates under the action of the spin-orbit coupling
Hidetsugu Sakaguchi, Boris A. Malomed
We report results of systematic analysis of confined steadily rotating patterns in the two-component BEC including the spin-orbit coupling (SOC) of the Rashba type, which acts in t…
Machine Learning of Nonlinear Dynamical Systems with Control Parameters Using Feedforward Neural Networks
Hidetsugu Sakaguchi
Several authors have reported that the echo state network reproduces bifurcation diagrams of some nonlinear differential equations using the data for a few control parameters. We d…