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0342884565
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note
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1 ≠ 0, the soliton acquires quantized internal rotation that is analogous to spin of real particles.
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26
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27
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0342884564
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For a further discussion on stability of single hump composite solitons, see Ref. [13]
-
For a further discussion on stability of single hump composite solitons, see Ref. [13].
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28
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0342450022
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note
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1/2.
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29
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0342884563
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note
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c is slightly different for scalar and vector solitons, since the nonlinearity necessary to generate a scalar soliton is lower than that for a vector soliton.
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30
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11744332120
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This delayed-action interaction might be related to a phenomenon called "excitation of soliton internal modes" [see Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, Phys. Rev. Lett. 80, 5032 (1998)], which has been predicted to occur for ID kinks in the sine-Gordon equation and for a coupled set of discrete NLS. The internal modes of a soliton, however, do not lead to actual delayed-action phenomena but rather to large persistent oscillations of the soliton amplitudes.
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