Fig. 1. Phase portraits of System (15): (a) Homoclinic orbits (β1 = –1/10, β2 = 1/18); (b) heteroclinic orbits (β1 = 1, β2 = –5/9).
系统(15)的相位图 (a)同宿轨道(β1 = –1/10, β2 = 1/18); (b) 异宿轨道(β1 = 1, β2 = –5/9)
Fig. 2. (a) Propagation of bright solitary wave via Solution (22) with the parameters chosen as α1 = 1, α2 = 2, α3 = 1, α4 = 8, α5 = 2, α6 = 6, α7 = 4, α8 = 6, c = 1, K = 1,
= 51/16, ε = 1, a = 1; (b) propagation of dark solitary wave via Solution (25) with the parameters chosen as α1 = –1, α2 = 2, α3 = 1, α4 = –8, α5 = –2, α6 = –6, α7 = –4, α8 = 6, c = –7, K = 1,
= –123/32, ε = 1, a = 1.
(a)由明孤立波解(22)式描述的明孤立波传输图形, 其中参数选取为 α1 = 1, α2 = 2, α3 = 1, α4 = 8, α5 = 2,α6 = 6, α7 = 4, α8 = 6, c = 1, K = 1,
= 51/16, ε = 1, a = 1; (b) 由暗孤立波解(25)式描述的暗孤立波传输图形, 其中参数选取为α1 = –1, α2 = 2, α3 = 1, α4 = –8, α5 = –2, α6 = –6, α7 = –4, α8 = 6, c = –7, K = 1,
= –123/32, ε = 1, a = 1
Fig. 3. The propagation of one breather via Solution (32) with the parameters chosen as
,
,
and
.
解(32)式描述的一阶呼吸子的动力学演化, 其中参数选取为
,
,
和
Fig. 4. Group velocity
(red-solid line) and phase velocity
(blue-dot line) of the breather
呼吸子的群速度
(红实线)和相速度
(蓝虚线)随参数a的变化关系
Fig. 5. The propagation of first-order rogue wave via Solution (42) with the parameters chosen as
,
,
,
,
and
.
解(42)式描述的一阶怪波的动力学演化, 其中参数选取为
,
,
,
,
和
Fig. 6. Variation of the group velocity
(red-solid line) and phase velocity
(blue-dot line) about the amplitude parameter c with the parameters chosen as
,
and
.
(a) 群速度
随振幅参数c的变化(红实线)和(b)相速度
随振幅参数c的变化(蓝点线), 其中参数选取为
,
和