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Book Review

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Book Information:

Authors: Richard Beals, Percy Deift and Carlos Tomei
Title: Direct and inverse scattering on the line
Additional book information: Mathematical Surveys and Monographs, No. 28. American Mathematical Society, Providence, 1988, xiii + 209 pp. $57.00. ISBN 0-8218-1530X.

References [Enhancements On Off] (What's this?)

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  • 2. R. Beals, The inverse problem for ordinary differential operators on the line, Amer. J. Math. 107 (1985), 281-366. MR 784286
  • 3. R. Beals and R. R. Coifman, Scattering and inverse scattering for first order systems I, II, Comm. Pure Appl. Math. 38 (1985), 29-42; Inverse Problems 3 (1987), 577-593. MR 768103
  • 4. P. Deift and E. Trubowitz, Inverse scattering on the line, Comm. Pure Appl. Math 32 (1979), 121-251. MR 512420
  • 5. P. Deift, C. Tomei, and E. Trubowitz, Inverse scattering and the Boussiesq equation, Comm. Pure Appl. Math. 35 (1982), 567-628. MR 668408
  • 6. 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), 1095-1091; Korteweg-de Vries equation and generalizations VI. Methods for exact solution, Comm. Pure Appl. Math. 27 (1974), 97-133. MR 336122
  • 7. G. L. Lamb, Jr., Analytical descriptions of ultra-short optical pulse propagation in a resonant medium, Rev. Mod. Phys. 43 (1971), 99-129. MR 475310
  • 8. P. D. Lax, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math. 21 (1968), 467-490. MR 235310
  • 9. V. E. Zakharov, On the stochastization of one-dimensional chains of nonlinear oscillators, Soviet Phys. JETP 38 (1974), 108-110.
  • 10. V. E. Zakharov and A. B. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Soviet Phys. JETP 34 (1972), 62-69. MR 406174

Review Information:

Reviewer: Robert L. Sachs
Journal: Bull. Amer. Math. Soc. 22 (1990), 349-353
DOI: https://doi.org/10.1090/S0273-0979-1990-15908-7
American Mathematical Society