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Speed of a soliton and its energy

  1. Apr 1, 2009 #1


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    Gold Member

    Hi All,

    A one dimensional soliton will have the mathematical form [itex] f(x - ct) [/itex] where c is the speed of propagation and f represents some envelope function.
    If we suppose that c1 is a speed and c2 another one where c2>c1.

    If E1 is the energy needed to maintain the speed and shape of the soliton.

    What happens when the speed change from c1 to c2?
    1/ if the shape is constant?
    2/ if the shape is reduced?
    3/ Is the energy needed enlarged/augmented?
  2. jcsd
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