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孤立波与孤子

DOI: 10.6052/1000-0879-15-066, PP. 272-276

Keywords: 非线性,孤立波,孤子,KdV,(Korteweg-de,Vries)方程,逆散射变换

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Abstract:

简要介绍了孤立波和孤子研究中的一些关键过程,以及基本方程和研究方法.

References

[1]  1 Russell JS. Report on waves. In: Proceeding of the Fourteenth Meeting of the British Society for the Advancement of Science, London, 1845
[2]  2 Korteweg DJ, de Vries G. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves. Philosophical Magazine, 1895,39: 422-443
[3]  3 Fermi E, Pasta J, Ulam SM. Studies of nonlinear problems. LANL Report No. 1940, Los Alamos, 1955
[4]  4 Zabusky NJ, Kruskal MD. Interaction of‘solitons’in a collisionless plasma and the recurrence of initial states. Physical Review Letters, 1965, 15: 240-243
[5]  5 Gardner CS, Greene JM, Kruskal MD,et al. Methods for solving the Korteweg-de Vries equation. Physical Review Letters, 1967, 19: 1095-1097
[6]  6 王振东. 孤立波与孤立子. 力学与实践, 2005, 27(5): 86-88

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