Soliton and Generation of Cloud in Nonlinear Dispersive Media with Weak Dissipation
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Propagation of solitons (solitary waves) in a nonlinear dispersive and weakly dissipative medium is investigated by numerical analyses of Korteweg-de Vries equation with a dissipation term. The amplitude of an initial soliton decreases and its velocity slows down as it propagates in such a system. At the same time, non-soliton part -cloud-is generated on the tail of a soliton. The shape of a cloud is determined by the structure of a dissipation term. An overtaking collision of two solitons is also examined numerically.
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