"Solitons"의 두 판 사이의 차이
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| 26번째 줄: | 26번째 줄: | ||
* [[KdV equation]] | * [[KdV equation]] | ||
* [[sine-Gordon equation]] | * [[sine-Gordon equation]] | ||
| + | * Non-L | ||
| 103번째 줄: | 104번째 줄: | ||
* Nonlinear evolution equations solvable by the spectral transform<br> | * Nonlinear evolution equations solvable by the spectral transform<br> | ||
** Eds. Calogero, 1977 | ** Eds. Calogero, 1977 | ||
| − | * Solitons and Nonlinear Wave Equations | + | * Solitons and Nonlinear Wave Equations<br> |
| − | * R.K.Dodd, J.C.Eilbeck, J.D.Gibbon, H.C.Morries, Academic Press, London, 1982 | + | ** R.K.Dodd, J.C.Eilbeck, J.D.Gibbon, H.C.Morries, Academic Press, London, 1982 |
* [[2009년 books and articles|찾아볼 수학책]] | * [[2009년 books and articles|찾아볼 수학책]] | ||
* http://gigapedia.info/1/soliton | * http://gigapedia.info/1/soliton | ||
2010년 5월 20일 (목) 10:45 판
introduction
- Solitons were discovered experimentally (Russell 1844)
- analytically (Korteweg & de Vries, 1895)
- modelling of Russell's discovery
- numerically (Zabusky & Kruskal 1965).
- they discovered that solitons of differenct sizes interact cleanly
meaning of soliton
- "soliton" is used to describe their particle-like properties
- boson
- fermion
- hadron
PDEs
important techniques
toda lattice solitons
mathematica code
history
하위페이지
books
- Integrable Models (World Scientific Lecture Notes in Physics)
- Ashok Das
- Soliton
- Toda
- Theory of Nonlinear Lattices
- Morikazu Toda
- Nonlinear evolution equations solvable by the spectral transform
- Eds. Calogero, 1977
- Solitons and Nonlinear Wave Equations
- R.K.Dodd, J.C.Eilbeck, J.D.Gibbon, H.C.Morries, Academic Press, London, 1982
- 찾아볼 수학책
- http://gigapedia.info/1/soliton
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
encyclopedia
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/Soliton
- http://en.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
blogs
- 구글 블로그 검색
articles
- Why are solitons stable?
- Terence Tao, 2008
- Five Lectures on Soliton Equations
- Edward Frenkel, Submitted on 30 Nov 1997
- The Symmetries of Solitons
- Richard S. Palais, Journal: Bull. Amer. Math. Soc. 34 (1997), 339-403
- Lax, P. D. 1996. Outline of a Theory of the KdV Equation in Recent Mathematical Methods in Nonlinear Wave Propagation. Lecture Notes in Mathematics, volume 1640, pp. 70–102. New York: Springer.
- Russell, J. S. 1844. Report on waves. In Report of the 14th Meeting of the British Association for the Advancement of Science, pp. 311–90. London: John Murray.
- Toda, M. 1989. Nonlinear Waves and Solitons. Dordrecht: Kluwer.
- Zabusky, N. J., and M. D. Kruskal. 1965. Interaction of solitons in a collisionless plasma and the recurrence of initial states. Physics Review Letters 15:240–43.
- 논문정리
- http://www.ams.org/mathscinet/search/publications.html?pg4=ALLF&s4=
- http://www.zentralblatt-math.org/zmath/en/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://www.ams.org/mathscinet
- http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
- http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
- http://dx.doi.org/