Analytical formulation for soliton-potential dynamics

Details Analytical formulation for soliton-potential dynamics Analytical formulation for soliton-potential dynamics

2008-05-19

arxiv.org/abs/0805.2676v3

Phys. Rev. E 78, 046607 (2008)

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 10 figures

Scientific paper

10.1103/PhysRevE.78.046607

An analytical model for the soliton-potential interaction is presented, by constructing a collective coordinate for the system. Most of the characters of the interaction are derived analytically while they are calculated by other models numerically. We will find that the behaviour of the soliton is like a point particle living under the influence of a complicated potential which is a function of soliton velocity and the potential parameters. The analytic model does not have a clear prediction for the islands of initial velocities in which the soliton may reflect back or escape over the potential well.

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