 | ARAI TakahitoScience and Technology Research Institute Associate Professor | ||
Last Updated :2024/04/25
Researcher Information
J-Global ID
Research Interests
- ソリトン共鳴 可積分 安定性 ソリトン 非線形波動
Research Areas
Academic & Professional Experience
- 2015/04 - Today Kindai UniversityResearch Institute for Science and Technology准教授
- 2009/04 - 2015/03 Kindai UniversityResearch Institute for Science and Technology講師
Education
- 2001/04 - 2002/03 Osaka Prefecture University School of Engineering Department of Mathematical Sciences
- 1998/04 - 2001/03 Osaka Prefecture University Graduate School of Engineering Division of Electrical Engineering and Information Science
- 1996/04 - 1998/03 Osaka Prefecture University Graduate School of Engineering Division of Electrical Engineering and Information Science
- 1991/04 - 1996/03 Osaka Prefecture University School of Engineering Department of Mathematical Sciences
Association Memberships
Published Papers
- Masayoshi Tajiri; Takahito AraiJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOC JAPAN 91 (7) 0031-9015 2022/07 [Refereed]
We show the mechanism that the formation of far tail fields in front of and behind new solitons proceeds before the appearance of the main part of new solitons emerging from the collision between two solitons. When the far tail field of a soliton flows into another soliton while increasing (or deceasing) its amplitude, the tail field with a larger (or smaller) wave number than before the inflow emerges on the opposite side of the soliton with the occurrence of auxiliary waves. The tail field recombines with the other auxiliary waves before re-inflowing into another soliton, which enables the wave phenomena to proceed in the reverse process before and after the collision. Quasi-solitons that do not satisfy the dispersion relation of the Korteweg-de Vries soliton appear in the interaction, which plays an important role in the interaction. The function of the quasi-messenger soliton in the collision is revealed. - Masayoshi Tajiri; Takahito AraiJournal of the Physical Society of Japan Physical Society of Japan 88 (8) 084401 - 084401 0031-9015 2019/08 [Refereed]
- Takahito Arai; Masayoshi TajiriJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOC JAPAN 84 (2) 024001 0031-9015 2015/02 [Refereed]
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. - Masayoshi Tajiri; Takahito AraiJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL IOP PUBLISHING LTD 44 (33) 335209 1751-8113 2011/08 [Refereed]
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. - Masayoshi Tajiri; Takahito AraiJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL IOP PUBLISHING LTD 44 (23) 235204 1751-8113 2011/06 [Refereed]
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. - 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 654 (1) 653 - 660 2011 [Refereed]
- Takahito Arai; Masayoshi TajiriJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOC JAPAN 79 (4) 045002 0031-9015 2010/04 [Refereed]
- M Tajiri; H Miura; T AraiPHYSICAL REVIEW E AMER PHYSICAL SOC 66 (6) 067601 1539-3755 2002/12 [Refereed]
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. - M Tajiri; K Takeuchi; T AraiJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOC JAPAN 70 (6) 1505 - 1511 0031-9015 2001/06 [Refereed]
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. - K Takeuchi; T Arai; M TajiriJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOC JAPAN 70 (2) 598 - 599 0031-9015 2001/02 [Refereed]
- Masayoshi Tajiri; Kiyohiro Takeuchi; Takahito AraiPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 64 (5) 7 1063-651X 2001 [Refereed]
The long time evolution of the Benjamin-Feir unstable mode in two dimension is described by the growing-and-decaying mode solution to the Davey-Stewartson equation. The solution of the hyperbolic Davey-Stewartson (the so-called Davey-Stewartson I) equation is analyzed to show that the resonance between line soliton and growing-and-decaying mode exists. If the resonant condition is exactly satisfied, the growing-and-decaying mode exists only in the forward region of propagation of soliton and the soliton is accelerated (or decelerated). Under the quasiresonant condition, the growing-and-decaying mode grows at first in the forward region, and after the sequence of the evolution has done in the forward region the mode starts to grow in the backward region of the soliton. © 2001 The American Physical Society. - T Arai; K Takeuchi; M TajiriJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOC JAPAN 70 (1) 55 - 59 0031-9015 2001/01 [Refereed]
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. - T Arai; M TajiriPHYSICS LETTERS A ELSEVIER SCIENCE BV 274 (1-2) 18 - 26 0375-9601 2000/09 [Refereed]
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. - M Tajiri; T AraiPHYSICAL REVIEW E AMERICAN PHYSICAL SOC 60 (2) 2297 - 2305 1063-651X 1999/08 [Refereed]
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]. - M Tajiri; T Arai; Y WatanabeJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOC JAPAN 67 (12) 4051 - 4057 0031-9015 1998/12 [Refereed]
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.
Books etc
- 近藤, 康; 新居, 毅人 学術図書出版社 2021/04 9784780608632 vi, 183p
- 基礎物理学ー高校物理から大学物理への橋渡しー［熱・波・電磁気・原子編］近藤康; 新居毅人 (Joint work)学術図書出版社 2019/11
- Understanding Fundamentals of Physics with ExercisesYukio Minorikawa; Takahito Arai (Joint work)共立出版 2016/11
- ファンダメンタル物理学 電磁気・熱・波動 第２版新居毅人; 井上開輝; 笠松健一; 千川道幸; 中野人志; 松本芳幸 (Joint work)共立出版 2013/09 9784320034976 146
- ファンダメンタル物理学 力学笠松健一; 新居毅人; 中野人志; 千川道幸 (Joint work)共立出版 2013/03 9784320034945 168
- 演習で理解する基礎物理学 ー力学ー御法川幸雄; 新居毅人 (Joint work)共立出版 2012/10 9784320034839 193
- ファンダメンタル物理学 電磁気・熱・波動新居毅人; 井上開輝; 笠松健一; 加藤幸弘; 千川道幸; 中野人志; 松本芳幸 (Joint work)共立出版 2009/09 9784320034600 167
- 演習で理解する基礎物理学御法川幸雄; 新居毅人 (Joint work)共立出版 2008/03 9784320034556 163
MISC
- オンライン科学実験教室ー身の回りの科学を親子で学ぶ木村隆良; 新居毅人 理工学総合研究所研究報告 32- 13 -31 2021/05
- 安全な質量保存則の実験法木村隆良、新居毅人 理工学総合研究所研究報告 31- 5 -10 2020/02
- ソリトンの相互作用における衝突後のソリトンのすそ野の形成について田尻昌義; 新居毅人 数理解析研究所講究録 2128- 132 -140 2019/09
- Flame reactions for demonstration experiment and hands-on activityTakayoshi Kimura; Takahito Arai Annual reports by Research Institute for Science and Technology 30- 31 -36 2018/02
- Takayoshi Kimura; Takahito Arai; Yasushi Kondo Annual reports by Research Institute for Science and Technology 29- (29) 57 -86 2017/02
- Takayoshi Kimura; Takahito Arai; Yasushi Kondo Annual reports by Research Institute for Science and Technology 28- (28) 33 -56 2016/02
- Arai Takahito Science and technology = 理工学総合研究所研究報告 (28) 57 -62 2016/02
- Arai Takahito Science and technology = 理工学総合研究所研究報告 (27) 71 -80 2015/02
- 新居毅人; 田尻昌義 数理解析研究所講究録 1847- 157 -168 2013/08
- Arai Takahito Science and technology (25) 1 -9 2013/02
- Quasi-line soliton interactions : KP I及びDS I方程式の解田尻昌義; 新居毅人 数理解析研究所講究録 1800- 107 -119 2012/07