252 citations · 2.2k across the 98 of their papers we have counts for
23 papers · 1 filter
Second-harmonic generation in the system with fractional diffraction
Pengfei Li, Hidetsugu Sakaguchi, Liangwei Zeng +3
We construct a family of bright optical solitons composed of fundamental frequency (FF) and second-harmonic (SH) components in the one-dimensional (planar) waveguide with the quadr…
Symmetry breaking in a two-component system with repulsive interactions and linear coupling
Hidetsugu Sakaguchi, Boris A. Malomed
We extend the well-known theoretical treatment of the spontaneous symmetry breaking (SSB) in two-component systems, combining linear coupling and self-attractive nonlinearity, to a…
Singular solitons
Hidetsugu Sakaguchi, Boris A. Malomed
We demonstrate that the commonly known concept, which treats solitons as nonsingular solutions produced by the interplay of nonlinear self-attraction and linear dispersion, may be…
Flip motion of solitary wave in an Ising-type Vicsek model
Hidetsugu Sakaguchi, Kazuya Ishibashi
An Ising-type Vicsek model is proposed for collective motion and sudden direction change in a population of self-propelled particles. Particles move on a linear lattice with veloci…
Interactions of solitons with positive and negative masses: Shuttle motion and co-acceleration
Hidetsugu Sakaguchi, Boris A. Malomed
We consider a possibility to realize self-accelerating motion of interacting states with effective positive and negative masses in the form of pairs of solitons in two-component BE…
Aggregation Dynamics Using Phase Wave Signals and Branching Patterns
Hidetsugu Sakaguchi, Takuma Kusagaki
The aggregation dynamics of slime mold is studied using coupled equations of phase ϕand cell concentration n. Phase waves work as tactic signals for aggregation. Branching structur…
Dynamical quorum sensing and clustering dynamics in a population of spatially distributed active rotators
Hidetsugu Sakaguchi, Satomi Maeyama
A model of clustering dynamics is proposed for a population of spatially distributed active rotators. A transition from excitable to oscillatory dynamics is induced by the increase…
Reflection of Channel-Guided Solitons at Junctions in Two-Dimensional Nonlinear Schroedinger Equation
Yusuke Kageyama, Hidetsugu Sakaguchi
Solitons confined in channels are studied in the two-dimensional nonlinear Schrödinger equation. We study the dynamics of two channel-guided solitons near the junction where two ch…
Stable two-dimensional solitons supported by radially inhomogeneous self-focusing nonlinearity
Hidetsugu Sakaguchi, Boris A. Malomed
We demonstrate that modulation of the local strength of the cubic self-focusing (SF) nonlinearity in the two-dimensional (2D) geometry, in the form of a circle with contrast o…
Reflection and Splitting of Channel-Guided Solitons in Two-dimensional Nonlinear Schrödinger Equation
Hidetsugu Sakaguchi, Yusuke Kageyama
Solitons confined in a channel are studied in the two-dimensional nonlinear Schroedinger equation. When a channel branches into two channels, a soliton is split into two solitons,…
Branching Patterns and Stepped Leaders in an Electric-Circuit Model for Creeping Discharge
Hidetsugu Sakaguchi, Sahim M. Kourkouss
We construct a two-dimensional electric circuit model for creeping discharge. Two types of discharge, surface corona and surface leader, are modeled by a two-step function of condu…
Solitons in combined linear and nonlinear lattice potentials
Hidetsugu Sakaguchi, Boris A. Malomed
We study ordinary solitons and gap solitons (GSs) in the effectively one-dimensional Gross-Pitaevskii equation, with a combination of linear and nonlinear lattice potentials. The m…
Two-dimensional dissipative gap solitons
Hidetsugu Sakaguchi, Boris Malomed
We introduce a model which integrates the complex Ginzburg-Landau (CGL) equation in two dimensions (2D) with the linear-cubic-quintic combination of loss and gain terms, self-defoc…
Soliton turbulences in the complex Ginzburg-Landau equation
Hidetsugu Sakaguchi
We study spatio-temporal chaos in the complex Ginzburg-Landau equation in parameter regions of weak amplification and viscosity. Turbulent states involving many soliton-like pulses…
Two-dimensional dark soliton in the nonlinear Schroedinger equation
Hidetsugu Sakaguchi, Tomoko Higashiuchi
Two-dimensional gray solitons to the nonlinear Schroedinger equation are numerically created by two processes to show its robustness. One is transverse instability of a one-dimensi…
Scattering of Solitons and Dark Solitons by Potential Walls in the Nonlinear Schroedinger Equation
Hidetsugu Sakaguchi, Mitsuaki Tamura
Scattering of solitons and dark solitons by potential walls is studied in the nonlinear Schroedinger equation under various conditions. We investigate the conditions under which so…
Resonant nonlinearity management for nonlinear-Schrödinger solitons
Hidetsugu Sakaguchi, Boris A. Malomed
We consider effects of a periodic modulation of the nonlinearity coefficient on fundamental and higher-order solitons in the one-dimensional NLS equation, which is an issue of dire…
Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials
H. Sakaguchi, M. Tamura
Soliton motion in some external potentials is studied using the nonlinear Schrödinger equation. Solitons are scattered by a potential wall. Solitons propagate almost freely or are…
Stable solitons in coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities
H. Sakaguchi, B. Malomed
We introduce a model of a two-core system, based on an equation of the Ginzburg-Landau (GL) type, coupled to another GL equation, which may be linear or nonlinear. One core is acti…
Solitary pulses and periodic waves in the parametrically driven complex Ginzburg-Landau equation
Hidetsugu Sakaguchi, Boris Malomed
A one-dimensional model of a dispersive medium with intrinsic loss, compensated by a parametric drive, is proposed. It is a combination of the well-known parametrically driven nonl…
Tip Oscillation of Dendritic Patterns in a Phase Field Model
Hidetsugu Sakaguchi, Seiji Tokunaga
We study dendritic growth numerically with a phase field model. Tip oscillation and regular side-branching are observed in a parameter region where the anisotropies of the surface…
Two-dimensional solitary pulses in driven diffractive-diffusive complex Ginzburg-Landau equations
Hidetsugu Sakaguchi, Boris A. Malomed
Two models of driven optical cavities, based on two-dimensional Ginzburg-Landau equations, are introduced. The models include loss, the Kerr nonlinearity, diffraction in one transv…
Breathing and randomly walking pulses in a semilinear Ginzburg-Landau system
Hidetsugu Sakaguchi, Boris A. Malomed
A system consisting of the cubic complex Ginzburg-Landau equation which is linearly coupled to an additional linear dissipative equation, is considered. The model was introduced ea…