2 citations · 5 across the 6 of their papers we have counts for
6 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…
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…
Interference Pattern Formation between Bounded-Solitons and Radiation in Momentum Space: Possible Detection of Radiation from Bounded-Solitons with Bose-Einstein Condensate of Neutral Atoms
Hironobu Fujishima, Masahiko Okumura, Makoto Mine +1
We propose an indirect method to observe radiation from an incomplete soliton with sufficiently large amplitude. We show that the radiation causes a notched structure on the envelo…
Decay of Resonance Structure and Trapping Effect in Potential Scattering Problem of Self-Focusing Wave Packet
Hironobu Fujishima, Makoto Mine, Masahiko Okumura +1
Potential scattering problems governed by the time-dependent Gross-Pitaevskii equation are investigated numerically for various values of coupling constants. The initial condition…