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Figure 7.
The potential ' (1) is depicted against for (a) i = 1=3; = 0:1, = 2:35 (solid curve),
= 2:4 (dashed curve), (b) i = 1=3; = 2:4; = 0:1 (solid curve), = 0:12 (dashed
curve), (c) = 0:5, = 3; i = 1=3 (solid curve) and i = 1=4 (dashed curve).
Figure 8.
The pseudo-potential V (' (1) ) is depicted against the electrostatic potential ' (1) , for (a)
i = 1=3; = 0:5, = 0:1 (solid curve), = 0:2 (dashed curve), (b) i = 1=3; = 0:2;
= 0:3 (solid curve), = 0:4 (dashed curve), (c) = 0:5, = 0:2; i = 1=3 (solid curve)
and i = 1=300 (dashed curve).
Figure 9.
The double layer pro…le ' (1) is depicted against for (a) i = 1=3; = 0:5, = 0:1 (solid
curve) and = 0:2 (dashed curve), (b) i = 1=3; = 0:2; = 0:3 (solid curve), = 0:4
(dashed curve), (c) = 0:5, = 0:2; i = 1=3 (solid curve) and i = 1=300 (dashed curve).
Figure 10.
The solitary pulse solutions (represented by Eqs. (35) and (36)) and the
double layer pro…le (represented by Eq. (42)) are depicted against the radial and
angular coordinates, r and ;respectively: (a) compressive pulse, (b) rarefactive
pulse (for = 2:35; i = 1=3; = 0:1; U 0 = 0:1 and t = 1, in both plots) and (c)
double layer pro…le for = 0:5; i = 1=3; = 0:5; U 0 = 0:1 and t = 1:
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