■Faculty | Research Institute for Science and Technology |

■Position | Associate Professor |

■Degree | |

■Commentator Guide | https://www.kindai.ac.jp/meikan/309-arai-takahito.html |

■URL | |

Last Updated :2020/09/30

- 1991 04 - 1996 03 , Osaka Prefecture University, School of Engineering
- 1996 04 - 1998 03 , Osaka Prefecture University, Graduate School of Engineering
- 1998 04 - 2001 03 , Osaka Prefecture University, Graduate School of Engineering
- 2001 04 - 2002 03 , Osaka Prefecture University, School of Engineering

- 2015 04 , - 現在, Research Institute for Science and Technology, Kindai University
- 2009 04 , - 2015 03 , Research Institute for Science and Technology, Kindai University

- Natural sciences, Mathematical physics and basic theory

- On the Existence of Parameter-Sensitive Regions: Resonant Interaction between Finite-Amplitude and Infinitesimal Periodic Solitons in the Davey-Stewartson II Equation, Takahito Arai, Masayoshi Tajiri, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 84(2), 024001, Feb. 2015 , RefereedSummary:There is a very small but finite amplitude periodic soliton (an infinitesimal periodic soliton) that interacts resonantly with a finite-amplitude periodic soliton under certain conditions. It is shown here that there are certain parameter-sensitive regions in the parameter space of the two-periodic-soliton solution where the interaction between the two periodic solitons undergoes a marked change to a small parameter change. Such regions exist near the intersections of two planes on which the conditions of a singular interaction are satisfied. The resonance between a finite-amplitude periodic soliton and an infinitesimal periodic soliton is shown to be responsible for the singular interactions with parameters in these parameter-sensitive regions.
- Asynchronous development of the Benjamin-Feir unstable mode: Solution of the Davey-Stewartson equation, Masayoshi Tajiri, Kiyohiro Takeuchi, Takahito Arai, Physical Review E, Physical Review E, 64, 056622, Oct. 2001 , Refereed
- On existence of a parameter-sensitive region: quasi-line soliton interactions of the Kadomtsev-Petviashvili I equation, Masayoshi Tajiri, Takahito Arai, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44(33), 335209, Aug. 2011 , RefereedSummary:A line-soliton solution can be regarded as the limiting solution with parameters on the boundary between regular and singular regimes in the parameter space of a periodic-soliton solution. We call the periodic soliton with parameters of the neighborhood of the boundary a quasi-line soliton. The solution with parameters on the intersection of the two boundaries, in the parameter space of the two-periodic-soliton solution on which each periodic soliton becomes the line soliton, corresponds to the two-line-soliton solution. On the way of the turning into the two-line-soliton solution from the two-periodic-soliton solution as a parameter point approaches to the intersection, there is a small parameter-sensitive region where the interaction between two quasi-line solitons undergoes a marked change to a small parameter under some conditions. In such a parameter-sensitive region, there is a new long-range interaction between two quasi-line solitons, which seems to be the long-range interaction between two line solitons through the periodic soliton as the messenger. We also show that an attractive interaction between a finite amplitude quasi-line soliton and infinitesimal one is possible.
- Quasi-line soliton interactions of the Davey-Stewartson I equation: on the existence of long-range interaction between two quasi-line solitons through a periodic soliton, Masayoshi Tajiri, Takahito Arai, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44(23), 235204, Jun. 2011 , RefereedSummary:A periodic soliton is turned into a line soliton accordingly as a parameter point approaches to the boundary of the existing domain in the parameter space for a nonsingular periodic-soliton solution. We will call the periodic soliton with parameters of the neighborhood of the boundary a quasi-line soliton in this paper, which seems to be the line soliton. The interaction between two quasi-line solitons is the same as the interaction between two line solitons, except for very small parameter-sensitive regions. However, in such parameter regions, there are new long-range interactions between two quasi-line solitons through the periodic soliton as the messenger under some conditions, which cannot be described by the two-line-soliton solution.
- The atmospheric transparency measured with a LIDAR system at the Telescope Array experiment, Tomida, T., Tsuyuguchi, Y., Arai, T., Benno, T., Chikawa, M., Doura, K., Fukushima, M., Hiyama, K., Honda, K., Ikeda, D., Matthews, J.N., Nakamura, T., Oku, D., Sagawa, H., Tokuno, H., Tameda, Y., Thomson, G.B., Tsunesada, Y., Udo, S., Ukai, H., Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 654(1), 653 - 660, 2011 , Refereed
- Long-Range Interaction between Two Periodic Solitons through Growing-and-Decaying Mode in the Davey-Stewartson I Equation, Takahito Arai, Masayoshi Tajiri, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 79(4), 045002, Apr. 2010 , Refereed
- Resonant interaction of modulational instability with a periodic soliton in the Davey-Stewartson equation, M Tajiri, H Miura, T Arai, PHYSICAL REVIEW E, PHYSICAL REVIEW E, 66(6), 067601, Dec. 2002 , RefereedSummary:The time evolution of the Benjamin-Feir unstable mode in two dimensions is studied analytically when it resonates with a periodic soliton. The condition for resonance is obtained from an exact solution to the hyperbolic Davey-Stewartson equation. It is shown that a growing-and-decaying mode exists only in the backward (or forward) region of propagation of the periodic soliton if the resonant condition is exactly satisfied. Under a quasiresonant condition, the mode grows at first on one side from the periodic soliton, but decays with time. The wave field shifts to an intermediate state, where only a periodic soliton in a resonant state appears. This intermediate state persists over a comparatively long time interval. Subsequently, the mode begins to grow on the other side from the periodic soliton.
- Soliton stability to the Davey-Stewartson: I. Equation by the Hirota method, M Tajiri, K Takeuchi, T Arai, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 70(6), 1505 - 1511, Jun. 2001 , RefereedSummary:The stability of soliton of the Davey-Stewartson I equation is discussed by the Hirota method. A close relation exists between the periodic soliton resonance and the soliton instability to the transverse disturbances. It is shown that the solutions of periodic soliton resonance describe the nonlinear stage of the instability.
- On recurrent solutions as imbricate series of rational growing-and-decaying modes: Solutions to the Davey-Stewartson equation, K Takeuchi, K Arai, M Tajiri, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 70(2), 598 - 599, Feb. 2001 , Refereed
- Note on periodic soliton resonance: Solutions to the Davey-Stewartson II equation, T Arai, K Takeuchi, M Tajiri, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 70(1), 55 - 59, Jan. 2001 , RefereedSummary:The two periodic soliton solution to the Davey-Stewartson II equation is analyzed to show that the periodic soliton resonance exists between them. There are two types of singular interactions one is the resonant interaction that generates one periodic soliton after collision, while the other is the long-range interaction.
- Resonance of breathers in one dimension: solutions to the nonlinear coupled Klein-Gordon equation, T Arai, M Tajiri, PHYSICS LETTERS A, PHYSICS LETTERS A, 274(1-2), 18 - 26, Sep. 2000 , RefereedSummary:The two breathers solution to the nonlinear coupled Klein-Gordon equation is analyzed to show that the: breather resonances exist between them. There are two types of singular interactions: one is the resonant interaction where two breathers interact so as to make a new breather, the other is the extremely long-range interaction where two breathers interact infinitely apart from each other. (C) 2000 Elsevier Science B.V. All rights reserved.
- Growing-and-decaying mode solution to the Davey-Stewartson equation, M Tajiri, T Arai, PHYSICAL REVIEW E, PHYSICAL REVIEW E, 60(2), 2297 - 2305, Aug. 1999 , RefereedSummary:The growing-and-decaying mode solution to the Davey-Stewartson equation are presented, which describe the long time evolution of the Benjamin-Feir unstable mode in two dimensions. A solution consisting of a line soliton and a growing-and-decaying mode shows that the Benjamin-Feir unstable mode does not destroy the structure of the line soliton. The breather solution and rational growing-and-decaying mode solution are also presented. [S1063-651X(99)00708-4].
- Resonant interactions of Y-periodic soliton with line soliton and algebraic soliton: Solutions to the Davey-Stewartson I equation, M Tajiri, T Arai, Y Watanabe, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 67(12), 4051 - 4057, Dec. 1998 , RefereedSummary:The exact solutions to the Davey-Stewartson I equation are analyzed to study the nature of the interactions between y-periodic soliton and line soliton and between y-periodic soliton and algebraic soliton. The interactions are classified into several types according to the phase shifts due to collisions. There are two types of singular interactions: one is the resonant interaction where two solitons interact so as to make one soliton and the other is the extremely long-range interaction where two solitons interchange each other infinitely apart. Detail behaviors of interactions are illustrated graphically.

- Understanding Fundamentals of Physics with Exercises, Yukio Minorikawa, Takahito Arai, Joint author, 2016 11

- Flame reactions for demonstration experiment and hands-on activity, Takayoshi Kimura, Takahito Arai, Annual reports by Research Institute for Science and Technology, 30, 31, 36, 2018 02
- Experiments on demand for science lovers, Takayoshi Kimura, Takahito Arai, Yasushi Kondo, Annual reports by Research Institute for Science and Technology, 29, 57, 86, 2017 02
- Delivery Experiment for Fostering Scienceholic Students, Takayoshi Kimura, Takahito Arai, Yasushi Kondo, Annual reports by Research Institute for Science and Technology, 28, 33, 56, 2016 02