Solitons - 편집 역사

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Pythagoras0: /* 메타데이터 */ 새 문단

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메타데이터: 새 문단

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2012-11-01T21:05:49Z

찾아 바꾸기 – “* Princeton companion to mathematics(Companion_to_Mathematics.pdf)” 문자열을 “” 문자열로

2012년 10월 29일 (월) 17:55에 imported>Pythagoras0님의 편집

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2012년 10월 29일 (월) 15:51에 imported>Pythagoras0님의 편집

2012-10-29T15:51:25Z

@@ 155번째 줄: / 155번째 줄: @@
 [[분류:migrate]]
-== 메타데이터 ==
+==메타데이터==
 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q464949 Q464949]

← 이전 판		2020년 12월 28일 (월) 12:44 판
154번째 줄:		154번째 줄:
	[[분류:math and physics]]		[[분류:math and physics]]
	[[분류:migrate]]		[[분류:migrate]]
		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q464949 Q464949]

@@ 9번째 줄: / 9번째 줄: @@
 ** they discovered that solitons of differenct sizes interact cleanly
-−
-−
 ==meaning of soliton==
-* "soliton" is used to describe their particle-like properties like bosons, fermions and hadrons
+* "soliton" is used to describe their particle-like properties like bosons, fermions and hadrons
 * any localized nonlinear wave which interacts with another (arbitrary) local disturbance and always regains asymptotically its exact initial shape and velocity (allowing for a possible phase shift)
-−
-−
 ==PDEs==
@@ 28번째 줄: / 28번째 줄: @@
 * [[Nonlinear Schrodinger equation|Non-linear Schrodinger equation]]
-−
-−
 ==important techniques==
@@ 37번째 줄: / 37번째 줄: @@
 * [[inverse scattering method]]
-−
-−
 ==history==
@@ 45번째 줄: / 45번째 줄: @@
 * http://www.google.com/search?hl=en&tbs=tl:1&q=soliton
-−
-−
-−
 ==하위페이지==
@@ 76번째 줄: / 76번째 줄: @@
 * [[Topological solitons]]
-−
 ==related items==
@@ 83번째 줄: / 83번째 줄: @@
 * [[5720447|wave phenomema]]
-−
-−
 ==computational resource==
@@ 95번째 줄: / 95번째 줄: @@
 ** [[5398019/attachments/3290825|sinegordon.nb]]
-−
-−
 ==books==
@@ 104번째 줄: / 104번째 줄: @@
 * Soliton, Toda
 * Theory of Nonlinear Lattices, Morikazu Toda
-* Nonlinear evolution equations solvable by the spectral transform, Eds. Calogero, 1977
+* 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
+* 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]]
-−
 ==encyclopedia==
@@ 114번째 줄: / 114번째 줄: @@
 * http://ko.wikipedia.org/wiki/
 * http://en.wikipedia.org/wiki/Soliton
-−
-−
 ==expositions==
@@ 122번째 줄: / 122번째 줄: @@
 * [http://arxiv.org/abs/0802.2408 Why are solitons stable?] Terence Tao, 2008[http://xxx.lanl.gov/abs/q-alg/9712005 ]
 * [http://www.ma.utexas.edu/users/uhlen/solitons/notes.pdf An Introduction to Wave Equations and Solitons] Richard S. Palais
-* Richard S Palais, “The Symmetries of Solitons,” dg-ga/9708004 (August 8, 1997), http://arxiv.org/abs/dg-ga/9708004.  [http://dx.doi.org/10.1090/S0273-0979-97-00732-5 ]http://dx.doi.org/10.1090/S0273-0979-97-00732-5
+* Richard S Palais, “The Symmetries of Solitons,” dg-ga/9708004 (August 8, 1997), http://arxiv.org/abs/dg-ga/9708004.  [http://dx.doi.org/10.1090/S0273-0979-97-00732-5 ]http://dx.doi.org/10.1090/S0273-0979-97-00732-5
-* Ford, Joseph. 1992. The Fermi-Pasta-Ulam problem: Paradox turns discovery. Physics Reports 213, no. 5 (May): 271-310. doi:[http://dx.doi.org/10.1016/0370-1573%2892%2990116-H 10.1016/0370-1573(92)90116-H]. [http://dx.doi.org/10.1216/RMJ-1978-8-1-413 ]
+* Ford, Joseph. 1992. The Fermi-Pasta-Ulam problem: Paradox turns discovery. Physics Reports 213, no. 5 (May): 271-310. doi:[http://dx.doi.org/10.1016/0370-1573%2892%2990116-H 10.1016/0370-1573(92)90116-H]. [http://dx.doi.org/10.1216/RMJ-1978-8-1-413 ]
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 ==articles==
@@ 133번째 줄: / 133번째 줄: @@
 * [http://www.ams.org/journals/bull/1997-34-04/S0273-0979-97-00732-5/home.html The Symmetries of Solitons]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] 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.
 * 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.
@@ 139번째 줄: / 139번째 줄: @@
 * [http://dx.doi.org/10.1216/RMJ-1978-8-1-413 http://dx.doi.org/10.1090/S0273-0979-97-00732-5]
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 ==question and answers(Math Overflow)==
@@ 148번째 줄: / 148번째 줄: @@
 * http://mathoverflow.net/search?q=
-−
 [[분류:개인노트]]

@@ 2번째 줄: / 2번째 줄: @@
 * Solitons were discovered experimentally (Russell 1844)
-*  analytically (Korteweg & de Vries, 1895)<br>
+*  analytically (Korteweg & de Vries, 1895)
 ** modelling of Russell's discovery
 ** 1-soliton solution
-*  numerically (Zabusky & Kruskal 1965).<br>
+*  numerically (Zabusky & Kruskal 1965).
 ** interaction of two 1-soliton solutions
 ** they discovered that solitons of differenct sizes interact cleanly
@@ 91번째 줄: / 91번째 줄: @@
 * [[KdV equation]]
 * [[sine-Gordon equation]][[5398019/attachments/3290825|5398019/attachments/3290825]]
-* [http://physics.ucsc.edu/%7Epeter/250/mathematica/ ][http://physics.ucsc.edu/%7Epeter/250/mathematica/ http://physics.ucsc.edu/~peter/250/mathematica/]<br>
+* [http://physics.ucsc.edu/%7Epeter/250/mathematica/ ][http://physics.ucsc.edu/%7Epeter/250/mathematica/ http://physics.ucsc.edu/~peter/250/mathematica/]
 ** [[5398019/attachments/3290823|soliton.nb]]
 ** [[5398019/attachments/3290825|sinegordon.nb]]

← 이전 판		2020년 11월 13일 (금) 14:35 판
153번째 줄:		153번째 줄:
	[[분류:integrable systems]]		[[분류:integrable systems]]
	[[분류:math and physics]]		[[분류:math and physics]]
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@@ 51번째 줄: / 51번째 줄: @@
-==== 하위페이지 ====
+==하위페이지==
 * [[solitons]]
-* [[solitons]]<br>
+* [[Boussinesq equation]]
-** [[Boussinesq equation]]<br>
+* [[course design on soliton]]
-** [[course design on soliton]]<br>
+* [[Fermi-Pasta-Ulam problem]]
-** [[Fermi-Pasta-Ulam problem]]<br>
+* [[Frenkel-Kontorova dislocation]]
-** [[Frenkel-Kontorova dislocation]]<br>
+* [[Hamiltonian structure in soliton theory|Hamiltonian structure]]
-** [[Hamiltonian structure in soliton theory|Hamiltonian structure]]<br>
+* [[Kadometsev-Petviashvii equation (KP equation)]]
-** [[Kadometsev-Petviashvii equation (KP equation)]]<br>
+* [[KdV equation]]
-** [[KdV equation]]<br>
+* [[0 methods and theory|methods and theory]]
-** [[0 methods and theory|methods and theory]]<br>
+* [[algebro-geometric method in soliton theory]]
-*** [[algebro-geometric method in soliton theory]]<br>
+* [[Bäcklund transformation (backlund)]]
-*** [[Bäcklund transformation (backlund)]]<br>
+* [[Tau functions and Bethe ansatz|Bethe ansatz and Tau functions]]
-*** [[Tau functions and Bethe ansatz|Bethe ansatz and Tau functions]]<br>
+* [[hierarchy of soliton equations]]
-*** [[hierarchy of soliton equations]]<br>
+* [[Hirota bilinear method]]
-*** [[Hirota bilinear method]]<br>
+* [[inverse scattering method]]
-*** [[inverse scattering method]]<br>
+* [[quantization of solitons and quantum inverse scattering method (QISM)]]
-*** [[quantization of solitons and quantum inverse scattering method (QISM)]]<br>
+* [[Sato theory]]
-*** [[Sato theory]]<br>
+* [[tau functions]]
-*** [[tau functions]]<br>
+* [[Nonlinear Schrodinger equation]]
-** [[Nonlinear Schrodinger equation]]<br>
+* [[quantum sine-Gordon field theory]]
-** [[quantum sine-Gordon field theory]]<br>
+* [[restricted sine-Gordon theory]]
-** [[restricted sine-Gordon theory]]<br>
+* [[sine-Gordon equation]]
-** [[sine-Gordon equation]]<br>
+* [[Topological solitons]]

← 이전 판		2012년 10월 29일 (월) 17:55 판
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	[[분류:integrable systems]]		[[분류:integrable systems]]
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← 이전 판		2012년 10월 29일 (월) 15:51 판
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	* http://functions.wolfram.com/		* http://functions.wolfram.com/
	[[분류:개인노트]]		[[분류:개인노트]]
		+	[[분류:integrable systems]]