"Solitons"의 두 판 사이의 차이

수학노트
둘러보기로 가기 검색하러 가기
1번째 줄: 1번째 줄:
 
<h5>introduction</h5>
 
<h5>introduction</h5>
  
Solitons were discovered experimentally (Russell 1844), analytically (Korteweg & de Vries, 1895), then numerically (Zabusky & Kruskal 1965).
+
* Solitons were discovered experimentally (Russell 1844)
 +
* analytically (Korteweg & de Vries, 1895)
 +
* numerically (Zabusky & Kruskal 1965).
  
 
 
 
 
91번째 줄: 93번째 줄:
 
* [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
 +
 +
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.
 +
 +
Palais, R. S. 1997. The symmetries of solitons. Bulletin of the
 +
 +
American Mathematical Society 34:339–403.
 +
 +
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.
 +
 
* [[2010년 books and articles|논문정리]]
 
* [[2010년 books and articles|논문정리]]
 
* http://www.ams.org/mathscinet/search/publications.html?pg4=ALLF&s4=
 
* http://www.ams.org/mathscinet/search/publications.html?pg4=ALLF&s4=

2010년 5월 11일 (화) 08:26 판

introduction
  • Solitons were discovered experimentally (Russell 1844)
  • analytically (Korteweg & de Vries, 1895)
  • numerically (Zabusky & Kruskal 1965).

 

 

toda lattice solitons

 

history

 

 

하위페이지

 

 

related items

 

 

books

 

 

encyclopedia

 

 

blogs

 

articles

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.

Palais, R. S. 1997. The symmetries of solitons. Bulletin of the

American Mathematical Society 34:339–403.

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.

 

TeX