Электромагнитные солитоны. Астахов С.А - 7 стр.

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7
10
0
3
3
3
 vv
u
uv
u
v
u
ɋɌ ɋɌ ɋɌ
w
wT
DU
w
wT
EU
w
wT
.
ɗɬɨ ɭɪɚɜɧɟɧɢɟ ɦɨɠɧɨ ɩɪɨɢɧɬɟɝɪɢɪɨɜɚɬɶ ɩɨ T:
1
2
0
2
3
2
2
 vvu v
u
v
u
C
ɋɌ ɋɌ ɋɌ
DU EU
w
wT
.
ɉɟɪɟɨɛɨɡɧɚɱɚɹ
Ⱥ
v
ɋɌ
D
E2
2
,
ȼ
vv
v
ɋɌ
ɋɌ
1
3
UE
, ɩɨɥɭɱɢɦ ɭɪɚɜɧɟɧɢɟ
ɤɨɧɫɟɪɜɚɬɢɜɧɨɝɨ ɧɟɥɢɧɟɣɧɨɝɨ ɨɫɰɢɥɥɹɬɨɪɚ
w
wT
2
2
2
u
Ⱥu ȼu ɋ
. (4)
ɫ ɤɭɛɢɱɟɫɤɢɦ ɩɨɬɟɧɰɢɚɥɨɦ (ɪɢɫ.2ɚ)
Vu
Ⱥ
u
ȼ
u ɋuC()
32
32
1
.
ȼ ɬɟɨɪɢɢ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɵɯ ɭɪɚɜɧɟɧɢɣ ɩɨɤɚɡɚɧɨ, ɱɬɨ (4)
ɢɦɟɟɬ ɮɢɡɢɱɟɫɤɢ ɩɪɢɟɦɥɟɦɨɟ ɪɟɲɟɧɢɟ (ɫɨɨɬɜɟɬɫɬɜɭɸɳɟɟ ɜɨɥɧɟ ɫ
ɨɝɪɚɧɢɱɟɧɧɨɣ ɷɧɟɪɝɢɟɣ) ɩɪɢ ɫɥɟɞɭɸɳɢɯ ɭɫɥɨɜɢɹɯ:
ɋ = ɋ
1
= 0, Au < 0, B < 0. (5)
Ɇɨɠɧɨ ɤɚɱɟɫɬɜɟɧɧɨ ɨɰɟɧɢɬɶ ɯɚɪɚɤɬɟɪ ɩɨɜɟɞɟɧɢɹ ɪɟɲɟɧɢɹ,
ɩɨɫɬɪɨɢɜ ɮɚɡɨɜɵɣ ɩɨɪɬɪɟɬ ɨɫɰɢɥɥɹɬɨɪɚ (ɪɢɫ.2ɛ). ɇɚ ɧɺɦ
ɫɨɥɢɬɨɧɭ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɞɜɢɠɟɧɢɟ ɩɨ ɫɟɩɚɪɚɬɪɢɫɟ, ɜɵɯɨɞɹɳɟɣ ɢɡ
ɫɟɞɥɚ, ɚ ɜɨɡɜɪɚɳɚɸɳɟɣɫɹ ɨɛɪɚɬɧɨ (ɪɢɫ.2ɝ).