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Solitary waves interacting with an external field

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Abstract

It is shown that the equations of a solitary wave interacting with an external field can be obtained from the noninteraction equations and a substitution analogous to the prescription of quantum mechanics for the energy and momentum operators in the presence of an interaction. Next it is shown that, if the rate of change of the external field is sufficiently small, then the motion of the solitary wave as a whole is identical to that of a point charge in an electromagnetic field or to that of a point mass in a given interaction potential. This identity holds regardless of the specific solitary wave equation. An estimate for the external field maximal rate of change is derived.

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  1. 5477 Donald St., Apt. 4, 97405, Eugene, Oregon

    T. G. Bodurov

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  1. T. G. Bodurov
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Bodurov, T.G. Solitary waves interacting with an external field. Int J Theor Phys 35, 2489–2499 (1996). https://doi.org/10.1007/BF02085757

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  • DOI: https://doi.org/10.1007/BF02085757

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