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1842691201
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note
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i, this condition can not be fulfilled for s = -1); this is, in fact, not a realistic physical situation [1].
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37
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1842691200
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note
-
See the discussions in Ref. [20], and definitions therein, according to which both α, β may be negative in the DIAW case. Also note, for reference, that upon setting: α = -1/2, α′ = 1/6, β= 1 and s = 1 in (8), one readily recovers the model equation system for the ion-acoustic waves, e.g., exactly (1) in Ref. [16] (also Ref. [13] for σ = 0).
-
-
-
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38
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1842691198
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note
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1 = 1 + √4 + (3β/γσ), taking finite values for σ ≠ 0. This does not contradict the remark made in Ref. [16] that P > 0 for k < 1 (for θ = 0 only).
-
-
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39
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1842640669
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note
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This remark is in agreement with the ion-acoustic wave case: (see Eq. (41) in Ref. [13]); as a matter of fact, the factor 1/3 therein is also exactly recovered here upon setting the appropriate parameter values (see in Ref. [32]) into Eq. (46).
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41
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0036300363
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Fedele, R. et al., Physica Scripta T 98 18 (2002); also, Fedele, R. and Schamel, H., Eur. Phys. J. B 27, 313 (2002).
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1842640668
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note
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0 → u.
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