Abstract
During the last three decades, the phenomenon of the solitary wave, which was discovered by the famous British scientist Scott Russell as early as in 1834, has been greatly concerned with the development of physics and mathematics. Interest in it is growing constantly. Now it has been proved that a large number of the nonlinear evolution equations have the soliton solutions by the numerical calculations and the theoretical analysis. Solitary waves have the striking property that they can keep the shape of wave stable after interaction. This is similar to the colliding property of particles. So Kruskal and Zabusky named them “solitons”. The solitary waves not only have been observed in nature, some of them have also been produced in laboratories, now.
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© 1995 Springer-Verlag Berlin Heidelberg
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Guo, B. (1995). Soliton Theory and Modern Physics. In: Gu, C. (eds) Soliton Theory and Its Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03102-5_1
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DOI: https://doi.org/10.1007/978-3-662-03102-5_1
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