2 citations · 11 across the 12 of their papers we have counts for
12 papers
An Approximation Method for the Scattering Data of One-Dimensional Soliton Equations under Arbitrary Rapidly-Decreasing Initial Pulses
Hironobu Fujishima, Tetsu Yajima
We present a novel approximation method that can predict the number of solitons asymptotically appearing under arbitrary rapidly decreasing initial wave packets. The number of soli…
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
Hideaki Ujino, Tetsu Yajima
The s2s-OVCA is a cellular automaton (CA) hybrid of the optimal velocity (OV) model and the slow-to-start (s2s) model, which is introduced in the framework of the ultradiscretizati…
Roles of Interfering Radiation Emitted from Decaying Pulses Obeying Soliton Equations Belonging to the Ablowitz-Kaup-Newell-Segur Systems
Hironobu Fujishima, Tetsu Yajima
The nonlinear Schrodinger (NLS) equation under the box-type initial condition, which models general multiple pulses deviating from pure solitons, is analyzed. Following the approxi…
Amended Proof of Pitaevskii-Stringari's Theorem
Hironobu Fujishima, Tetsu Yajima
An amended proof of Pitaevskii-Stringari's theorem is given in mathematically coherent manner without resorting to the Bogoliubov approximation. This approach is based on the ortho…
Perturbative Analysis of Potential Scattering Problems in the Lieb-Liniger Model
Hironobu Fujishima, Tetsu Yajima
The Lieb-Liniger model which has a weak external potential term under the periodic boundary condition is investigated. By exploiting the Bethe states as bases, we perform a perturb…
Exact Solutions and Flow--Density Relations for a Cellular Automaton Variant of the Optimal Velocity Model with the Slow-to-Start Effect
Hideaki Ujino, Tetsu Yajima
A set of exact solutions for a cellular automaton, which is a hybrid of the optimal velocity and the slow-to-start models, is presented. The solutions allow coexistence of free flo…