"Solitons"의 두 판 사이의 차이
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** http://blogsearch.google.com/blogsearch?q= | ** http://blogsearch.google.com/blogsearch?q= | ||
** http://blogsearch.google.com/blogsearch?q= | ** http://blogsearch.google.com/blogsearch?q= | ||
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| + | <h5>expositions</h5> | ||
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| + | A brief history of the quantum soliton with new results on the quantization of the Toda lattice<br> Bill Sutherland, Rocky Mountain J. Math. Volume 8, Number 1-2 (1978), 413-430. | ||
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* [http://arxiv.org/abs/0802.2408 Why are solitons stable?]<br> | * [http://arxiv.org/abs/0802.2408 Why are solitons stable?]<br> | ||
** Terence Tao, 2008 | ** Terence Tao, 2008 | ||
| − | * | + | * [http://dx.doi.org/10.1098/rspa.1999.0502%20 Solitons, Links and Knots]<br> |
| − | ** Richard Battye, Paul Sutcliffe, 1999 | + | ** Richard Battye, Paul Sutcliffe, Proc. R. Soc. Lond. A 8 December 1999 vol. 455 no. 1992 4305-4331 |
* [http://xxx.lanl.gov/abs/q-alg/9712005 Five Lectures on Soliton Equations]<br> | * [http://xxx.lanl.gov/abs/q-alg/9712005 Five Lectures on Soliton Equations]<br> | ||
** Edward Frenkel, Submitted on 30 Nov 1997 | ** Edward Frenkel, Submitted on 30 Nov 1997 | ||
* [http://www.ams.org/journals/bull/1997-34-04/S0273-0979-97-00732-5/home.html The Symmetries of Solitons]<br> | * [http://www.ams.org/journals/bull/1997-34-04/S0273-0979-97-00732-5/home.html The Symmetries of Solitons]<br> | ||
** Richard S. Palais, Journal: Bull. Amer. Math. Soc. 34 (1997), 339-403 | ** Richard S. Palais, Journal: Bull. Amer. Math. Soc. 34 (1997), 339-403 | ||
| + | * [http://dx.doi.org/10.1143/PTPS.94.1%20 From Solitons to Knots and Links]<br> | ||
| + | ** Miki Wadati and Yasuhiro Akutsu, Prog. Theor. Phys. Supplement No.94 (1988) pp. 1-41 | ||
* 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. | * 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. | ||
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* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q= | * 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://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/ | + | * http://dx.doi.org/10.1216/RMJ-1978-8-1-413 |
<h5>TeX </h5> | <h5>TeX </h5> | ||
2011년 1월 2일 (일) 23:09 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
- 2010년 books and articles
- 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
expositions
A brief history of the quantum soliton with new results on the quantization of the Toda lattice
Bill Sutherland, Rocky Mountain J. Math. Volume 8, Number 1-2 (1978), 413-430.
articles
- Why are solitons stable?
- Terence Tao, 2008
- Solitons, Links and Knots
- Richard Battye, Paul Sutcliffe, Proc. R. Soc. Lond. A 8 December 1999 vol. 455 no. 1992 4305-4331
- 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
- From Solitons to Knots and Links
- Miki Wadati and Yasuhiro Akutsu, Prog. Theor. Phys. Supplement No.94 (1988) pp. 1-41
- 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/10.1216/RMJ-1978-8-1-413