DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Baek, Sang Hoon | - |
dc.contributor.advisor | 백상훈 | - |
dc.contributor.author | Choi, Dong Jun | - |
dc.date.accessioned | 2022-04-21T19:31:50Z | - |
dc.date.available | 2022-04-21T19:31:50Z | - |
dc.date.issued | 2021 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=948342&flag=dissertation | en_US |
dc.identifier.uri | http://hdl.handle.net/10203/295409 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수리과학과, 2021.2,[i, 40 p. :] | - |
dc.description.abstract | This paper explains the relation between Lie conformal algebras, vertex algebras, and Poisson vertex algerbas, which is similar to the relation between Lie algebras, associative algebras, and Poisson algebras. Also we explain how Poisson vertex algebra structure is related to integrable Hamiltonian PDE. There is a significant theorem determining whether a Hamiltonian PDE is integrable or not, called Lenard scheme. Through this, we show that KdV equation is integrable and find infinitely many conserved densities. At the end, this paper introduces short introduction to classical affine W-algebras. | - |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Vertex algebra▼aLie conformal algebra▼aPoisson vertex algebra▼aIntegrable system▼aLenard scheme▼aHamiltonian PDE▼aclassical affine W-algebra | - |
dc.subject | 꼭짓점 대수▼a리 등각 대수▼a푸아송 꼭짓점 대수▼a적분가능계▼a레너드 스킴▼a해밀토니안 편미분방정식▼a고전 아핀 W-대수 | - |
dc.title | Poisson vertex algebra and integrable Hamiltonian PDE | - |
dc.title.alternative | 푸아송 꼭짓점 대수와 적분가능 해밀토니안 편미분방정식 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 325007 | - |
dc.description.department | 한국과학기술원 :수리과학과, | - |
dc.contributor.alternativeauthor | 최동준 | - |
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