"팽르베 미분방정식(Painlevé Equations)"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) |
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(같은 사용자의 중간 판 16개는 보이지 않습니다) | |||
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− | + | ==개요== | |
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* Painlevé I-VI | * Painlevé I-VI | ||
− | * II | + | * II:<math>\frac{d^2y}{dt^2} = 2 y^3 + ty + \alpha </math> |
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− | + | ==메모== | |
* <math>q''(s)=sq(s)+2q(s)^3</math> | * <math>q''(s)=sq(s)+2q(s)^3</math> | ||
* [[에어리 (Airy) 함수와 미분방정식]] | * [[에어리 (Airy) 함수와 미분방정식]] | ||
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− | + | ==사전 형태의 자료== | |
− | + | * http://ko.wikipedia.org/wiki/팽르베_방정식 | |
+ | * http://en.wikipedia.org/wiki/Painlevé_transcendents | ||
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− | + | ==관련링크 및 웹페이지== | |
− | + | * [http://www.math.h.kyoto-u.ac.jp/%7Etakasaki/soliton-lab/chron/painleve.html Painlevé Equations] | |
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− | + | ==리뷰, 에세이, 강의노트== | |
+ | * Guzzetti, Davide. “A Review on The Sixth Painleve’ Equation.” Constructive Approximation 41, no. 3 (June 2015): 495–527. doi:10.1007/s00365-014-9250-6. | ||
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− | < | + | ==관련논문== |
+ | * Takao Suzuki, A generalization of the <math>q</math>-Painlevé VI equation from a viewpoint of a particular solution in terms of the <math>q</math>-hypergeometric function, arXiv:1602.01573[math-ph], February 04 2016, http://arxiv.org/abs/1602.01573v4 | ||
+ | * Brezhnev, Yurii V. “The Sixth Painleve Transcendent and Uniformization of Algebraic Curves.” Journal of Differential Equations 260, no. 3 (February 2016): 2507–56. doi:10.1016/j.jde.2015.10.009. | ||
+ | * Kajiwara, Kenji, Masatoshi Noumi, and Yasuhiko Yamada. “Geometric Aspects of Painlev’e Equations.” arXiv:1509.08186 [math-Ph, Physics:nlin], September 27, 2015. http://arxiv.org/abs/1509.08186. | ||
− | + | [[분류:미분방정식]] | |
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− | + | ==메타데이터== | |
− | + | ===위키데이터=== | |
− | + | * ID : [https://www.wikidata.org/wiki/Q907724 Q907724] | |
− | + | ===Spacy 패턴 목록=== | |
− | * | + | * [{'LOWER': 'painlevé'}, {'LEMMA': 'transcendent'}] |
− | + | * [{'LOWER': 'painlevé'}, {'LEMMA': 'equation'}] | |
− | * | + | * [{'LOWER': 'painleve'}, {'LEMMA': 'transcendent'}] |
− | * | + | * [{'LOWER': 'painleve'}, {'LEMMA': 'equation'}] |
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2021년 2월 17일 (수) 05:05 기준 최신판
개요
- Painlevé I-VI
- II\[\frac{d^2y}{dt^2} = 2 y^3 + ty + \alpha \]
메모
- \(q''(s)=sq(s)+2q(s)^3\)
- 에어리 (Airy) 함수와 미분방정식
사전 형태의 자료
관련링크 및 웹페이지
리뷰, 에세이, 강의노트
- Guzzetti, Davide. “A Review on The Sixth Painleve’ Equation.” Constructive Approximation 41, no. 3 (June 2015): 495–527. doi:10.1007/s00365-014-9250-6.
관련논문
- Takao Suzuki, A generalization of the \(q\)-Painlevé VI equation from a viewpoint of a particular solution in terms of the \(q\)-hypergeometric function, arXiv:1602.01573[math-ph], February 04 2016, http://arxiv.org/abs/1602.01573v4
- Brezhnev, Yurii V. “The Sixth Painleve Transcendent and Uniformization of Algebraic Curves.” Journal of Differential Equations 260, no. 3 (February 2016): 2507–56. doi:10.1016/j.jde.2015.10.009.
- Kajiwara, Kenji, Masatoshi Noumi, and Yasuhiko Yamada. “Geometric Aspects of Painlev’e Equations.” arXiv:1509.08186 [math-Ph, Physics:nlin], September 27, 2015. http://arxiv.org/abs/1509.08186.
메타데이터
위키데이터
- ID : Q907724
Spacy 패턴 목록
- [{'LOWER': 'painlevé'}, {'LEMMA': 'transcendent'}]
- [{'LOWER': 'painlevé'}, {'LEMMA': 'equation'}]
- [{'LOWER': 'painleve'}, {'LEMMA': 'transcendent'}]
- [{'LOWER': 'painleve'}, {'LEMMA': 'equation'}]