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Radiationless Motion of One-Dimensional Solitons in Dispersive Medium

1994; Springer Nature; Linguagem: Inglês

10.1007/978-1-4899-1343-2_57

0258-1221

М. М. Богдан, A. M. Kosevich,

Advanced Fiber Laser Technologies

Twenty years ago K. Nakajima et al1, 2 observed a phenomenon of sine-Gordon soliton bunching in numerical and mechanical experiments. Both realizations of the sine-Gordon system were discrete versiens of the model. The similar phenomenon of a formation of the 4π-soliton from the two 2π-solitins was discovered later in a highly discrete Sine-Gordon system by M. Peyrard and M. Kruskal3. The numerical simulation of a radiationless motion of 4π-soliton was performed in detail and a phenomenological theory based on the qualitative assumption was presented.