That is, for a conservative (non-dissipative) system, a soliton is a solitary wave whose amplitude, shape, and velocity are conserved after a collision with another soliton. When a soliton interacts with another soliton, it emerges from the "collision" unchanged except possibly for a phase shift.It must maintain its shape when it moves at constant speed.A soliton is a solitary wave that behaves like a "particle", in that it satisfies the following conditions (Scott, 2005): In most types of solitary waves, the pulse width depends on the amplitude. Porter, Oxford Centre for Industrial and Applied Mathematics, Oxford UniversityĪ solitary wave is a localized "wave of translation" that arises from a balance between nonlinear and dispersive effects. Zabusky, Weizmann Institute of Science, Rehovot, Israel
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