"Solitons"의 두 판 사이의 차이

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* [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
 
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* Lax, P. D. 1996. Outline of a Theory of the KdV Equation in Recent Mathematical Methods in Nonlinear Wave
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,
 
Propagation. Lecture Notes in Mathematics, volume 1640,
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pp. 70–102. New York: Springer.
 
pp. 70–102. New York: Springer.
  
Palais, R. S. 1997. The symmetries of solitons. Bulletin of the
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* Palais, R. S. 1997. The symmetries of solitons. Bulletin of the
  
 
American Mathematical Society 34:339–403.
 
American Mathematical Society 34:339–403.
  
Russell, J. S. 1844. Report on waves. In Report of the 14th
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* Russell, J. S. 1844. Report on waves. In Report of the 14th
  
 
Meeting of the British Association for the Advancement of
 
Meeting of the British Association for the Advancement of
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Science, pp. 311–90. London: John Murray.
 
Science, pp. 311–90. London: John Murray.
  
Toda, M. 1989. Nonlinear Waves and Solitons. Dordrecht:
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* Toda, M. 1989. Nonlinear Waves and Solitons. Dordrecht:
  
 
Kluwer.
 
Kluwer.
  
Zabusky, N. J., and M. D. Kruskal. 1965. Interaction of solitons
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* Zabusky, N. J., and M. D. Kruskal. 1965. Interaction of solitons
  
 
in a collisionless plasma and the recurrence of initial
 
in a collisionless plasma and the recurrence of initial

2010년 5월 12일 (수) 03:37 판

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

 

 

toda lattice solitons

 

 

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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.

 

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