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pdf here - Theoretische Physik IV - Ruhr-Universität Bochum

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Figure Captions<br />

Figure 1.<br />

(a) The soliton amplitude ' 0 is depicted against the propagation speed ; for i = 1=300;<br />

= 0:4 (solid curve), = 0:9 (dashed curve), and i = 1=3 and = 0:4 (dotted curve). (b)<br />

The soliton width W is depicted against for = 0:1 (solid curve), = 0:5 (dashed curve)<br />

and = 0:99 (dotted curve). Here we have used U 0 = 0:1.<br />

Figure 2.<br />

The electrostatic potential ' (1) is depicted against the radial and angular coordinates,<br />

r and ;respectively: (a) compressive solitary pulse for = 1 and (b)<br />

rarefactive solitary pulse for = 2. The other plasma parameters are i = 1=300;<br />

= 0:4; U 0 = 0:1 and t = 1:<br />

Figure 3.<br />

(a) The nonlinear coe¢ cient A, (b) the determinant , and (c) the nonlinear coe¢ cient<br />

C are depicted against the propagation speed ; for i = 1=3 (solid curve), i = 1=300<br />

(dashed curve), w<strong>here</strong> = 0:1.<br />

Figure 4.<br />

(a) The nonlinear coe¢ cient A, (b) the determinant , and (c) the nonlinear coe¢ cient<br />

C are depicted against the propagation speed ; for i = 1=3 (solid curve), i = 1=4 (dashed<br />

curve), w<strong>here</strong> = 0:5.<br />

Figure 5.<br />

(a) The nonlinear coe¢ cient A, (b) the determinant , and (c) the nonlinear coe¢ cient<br />

C are depicted against the propagation speed ; for i = 1=3 (solid curve), i = 1=300<br />

(dashed curve), w<strong>here</strong> = 0:9.<br />

Figure 6.<br />

The Sagdeev potential V (' (1) ) is depicted against the electrostatic potential ' (1) , for (a)<br />

i = 1=3; = 0:1, = 2:35 (solid curve), = 2:4 (dashed curve), (b) i = 1=3; = 2:35;<br />

= 0:1 (solid curve), = 0:11 (dashed curve), (c) = 0:5, = 3:5; i = 1=3 (solid curve)<br />

and i = 1=4 (dashed curve).<br />

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