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Book Review
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Book Information
Author(s):
G. L. Lamb Jr.
Title:
Elements of soliton theory
Additional book information:
Wiley, New York, 1980, xii + 289 pp., $29.95
References:
- 1.
- E. Fermi, J. Pasta and S. M. Ulam, Introduction to studies of nonlinear problems, 'Collected Papers of Enrico Fermi', Vol. II, Univ. of Chicago Press, Chicago, Ill., 1965.
- 2.
- A. C. Scott, F. Y. F. Chu and D. W. McLaughlin, The soliton: a new concept in applied science, Proc. IEEE 61 (1973), 1443-1483. MR 358045
- 3.
- N. J. Zabusky and M. D. Kruskal, Interaction of 'Solitons' in a collision-less plasma and the recurrence of initial states, Phys. Rev. Lett. 15 (1965), 240-242.
- 4.
- C. S. Gardner, J. M. Greene, M. D. Kruskal and R. M. Miura, Method for solving the Korteweg-de Vries equation, Phys. Rev. Lett. 19 (1967), 1095-1097.
- 5.
- I. M. Gelfand and L. A. Dikiĭ, Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations, Russian Math. Surveys 30 (1975); translation of Uspehi Mat. Nauk 30 (1975), 67-100. MR 508337
- 6.
- V. Guillemin and S. Sternberg, Geometric asymptotics, Math. Surveys, no. 14, Amer. Math. Soc. Providence, R. I., 1977. MR 516965
- 7.
- H. D. Wahlquist and F. B. Estabrook, Prolongation structures of nonlinear evolution equations, J. Math. Phys. 16 (1975), 1-7. MR 358111
Additional Information:
Reviewer(s):
Robert
Hermann
Review Information:
Journal:
Bull. Amer. Math. Soc.
5
(1981),
203-209.
DOI:
10.1090/S0273-0979-1981-14948-X
PII:
S 0273-0979(1981)14948-X
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