Abstract
The Cauchy problems of the propagation of a single wave and the interaction of two solitary waves of different amplitude are solved numerically for the case of slow symmetric surface waves in a magnetic tube. It is found that the solitary waves interact in the same way as the solitons of the known soliton equations such as the Korteweg-de Vries and Benjamin-Ono equations, i.e., preserve their shape after interacting. The way in which the solitons decrease at infinity is discussed.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 183–186, March–April, 1989.
The author wishes to thank M. S. Ruderman for formulating the problem and V. B. Baranov for his interest in the work.
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Molotovshchikov, A.L. Modeling the interaction of solitary waves in magnetic tubes. Fluid Dyn 24, 321–325 (1989). https://doi.org/10.1007/BF01075168
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DOI: https://doi.org/10.1007/BF01075168