136 citations · 272 across the 12 of their papers we have counts for
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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…