Abstract
The soliton is a pulse-like nonlinear wave which emerges from a collision with another soliton with its shape and speed preserved. This description, taken from the excellent review given by Scott, Chu, and McLaughlin (1973), aptly characterizes planar solitons. We shall see that solitons also exist in two and three dimensions, by extending the above characterization appropriately.
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References and Suggested Reading
Key Articles, Reviews and Conference Proceedings
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Authored Books
Bogoliubov, N. N., and Y. A. Mitropolsky, 1961, Asymptotic Methods in the Theory of Nonlinear Oscillations (Gordon and Breach Science Publishers, New York), Chap. I. A recent application of these methods to the laser excitation of atoms and molecules can be found in Wong et al. (1976).
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Edited Volumes
Bishop, A. R., and T. Schneider, editors, 1978, Solitons and Condensed Matter Physics ( Springer-Verlag, New York ).
Bullough, R. K., and P. J. Caudrey, editors, 1980, Solitons (Springer-Verlag, New York).
Lonngren, K., and A. C. Scott, Editors, 1978, Solitons in Action ( Academic Press, New York ).
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Maxon, S. (1982). Solitons, Plasma Waves, and Laser Pulses. In: Teplitz, D. (eds) Electromagnetism. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0650-5_2
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