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By virtue of the singular perturbation expansion,we have developed a theory for the study of dynamical behaviours of the kink of sine-Gordon equation,and acquired that the kink of sine-Gordon equation behaves very much like a classical particle under the action of a constant external force,its motion satisfies the Newton's law.Still,we have derived a simple analytical expression for the dispersive wave radiated by the kink in the process of propagation.
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Keywords:
- kink /
- singular expansion /
- dynamical behaviour
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