Book Review
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MathSciNet review:
1567332
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Book Information:
Author:
G. L. Lamb Jr.
Title:
Elements of soliton theory
Additional book information:
Wiley, New York, 1980, xii + 289 pp., $29.95.
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.
Alwyn C. Scott, F. Y. F. Chu, and David W. McLaughlin, The soliton: a new concept in applied science, Proc. IEEE 61 (1973), 1443–1483. MR 0358045
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.
I. M. Gel′fand and L. A. Dikiĭ, Asymptotic properties of the resolvent of Sturm-Liouville equations, and the algebra of Korteweg-de Vries equations, Uspehi Mat. Nauk 30 (1975), no. 5(185), 67–100 (Russian). MR 0508337
Victor Guillemin and Shlomo Sternberg, Geometric asymptotics, Mathematical Surveys, No. 14, American Mathematical Society, Providence, R.I., 1977. MR 0516965
H. D. Wahlquist and F. B. Estabrook, Prolongation structures of nonlinear evolution equations, J. Mathematical Phys. 16 (1975), 1–7. MR 358111, DOI 10.1063/1.522396
- 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 0358045
- 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
Review Information:
Reviewer:
Robert Hermann
Journal:
Bull. Amer. Math. Soc.
5 (1981), 203-209
DOI:
https://doi.org/10.1090/S0273-0979-1981-14948-X
