 | 新居 毅人 （アライ タカヒト）
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Last Updated :2024/04/19
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不安定波動場のダイナミクスについての研究をしております。とりわけ、2次元非線形可積分方程式の厳密解を構成し、その物理的意味の考察をしております。
研究者情報
学位
ホームページURL
J-Global ID
研究キーワード
- ソリトン共鳴 可積分 安定性 ソリトン 非線形波動
現在の研究分野（キーワード）
- 不安定波動場のダイナミクスについての研究をしております。とりわけ、2次元非線形可積分方程式の厳密解を構成し、その物理的意味の考察をしております。
研究分野
経歴
学歴
- 2001年04月 - 2002年03月 大阪府立大学 工学部 数理工学科 研究生
- 1998年04月 - 2001年03月 大阪府立大学大学院 工学研究科 電気・情報系専攻 博士後期課程
- 1996年04月 - 1998年03月 大阪府立大学大学院 工学研究科 電気・情報系専攻 博士前期課程
- 1991年04月 - 1996年03月 大阪府立大学 工学部 数理工学科
所属学協会
研究活動情報
論文
- Masayoshi Tajiri; Takahito AraiJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 91 7 2022年07月 [査読有り]
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 88 8 084401 - 084401 2019年08月 [査読有り]
- Takahito Arai; Masayoshi TajiriJournal of the Physical Society of Japan 84 2 024001 2015年02月 [査読有り]
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 44 33 335209 2011年08月 [査読有り]
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 44 23 235204 2011年06月 [査読有り]
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年 [査読有り]
- Takahito Arai; Masayoshi TajiriJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 79 4 045002 2010年04月 [査読有り]
- M Tajiri; H Miura; T AraiPHYSICAL REVIEW E 66 6 067601 2002年12月 [査読有り]
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 70 6 1505 - 1511 2001年06月 [査読有り]
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 70 2 598 - 599 2001年02月 [査読有り]
- Masayoshi Tajiri; Kiyohiro Takeuchi; Takahito AraiPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 64 5 7 2001年 [査読有り]
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 70 1 55 - 59 2001年01月 [査読有り]
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 274 1-2 18 - 26 2000年09月 [査読有り]
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 60 2 2297 - 2305 1999年08月 [査読有り]
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 67 12 4051 - 4057 1998年12月 [査読有り]
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.
書籍
- 近藤, 康; 新居, 毅人 学術図書出版社 2021年04月 ISBN: 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 (担当:共著範囲:)学術図書出版社 2019年11月
- 演習で理解する基礎物理学 ー電磁気学ー御法川幸雄; 新居毅人 (担当:共著範囲:)共立出版 2016年11月
- 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 (担当:共著範囲:)共立出版 2013年09月 ISBN: 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 (担当:共著範囲:)共立出版 2013年03月 ISBN: 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 (担当:共著範囲:)共立出版 2012年10月 ISBN: 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 (担当:共著範囲:)共立出版 2009年09月 ISBN: 9784320034600 167
- 演習で理解する基礎物理学御法川幸雄; 新居毅人 (担当:共著範囲:)共立出版 2008年03月 ISBN: 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年05月
- 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年02月
- 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年09月
- 演示実験や体験実験のための炎色反応木村隆良; 新居毅人 理工学総合研究所研究報告 30 31 -36 2018年02月
- 木村隆良; 新居毅人; 近藤康 理工学総合研究所研究報告 29 (29) 57 -86 2017年02月
- 木村隆良; 新居毅人; 近藤康 理工学総合研究所研究報告 28 (28) 33 -56 2016年02月
- Arai Takahito Science and technology = 理工学総合研究所研究報告 (28) 57 -62 2016年02月
- Arai Takahito Science and technology = 理工学総合研究所研究報告 (27) 71 -80 2015年02月
- 新居毅人; 田尻昌義 数理解析研究所講究録 1847 157 -168 2013年08月
- Arai Takahito 理工学総合研究所研究報告 (25) 1 -9 2013年02月
- 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年07月