The effect of dust size distribution for two ion temperature dusty plasmas

The Kadomtsev–Petviashvili (KP), MKP, and coupled KP equations for two-ion-temperature dusty plasmas

“…This result is same as Ref. [19]. It seems that the propagation distances of different dust particles are inversely proportional to the dust size a.…”

“…For the continuous dust size distribution: n(a)da = Ka Àb da [13,18], we obtain the same result [19]. We found that the variation of v 2 0 =v 0 2 is a function of c and b, then we defined that F ðc; bÞ ¼ v 2 0 =v 2 0 .…”

“…It seems that the propagation distances of different dust particles are inversely proportional to the dust size a. The experimental results suggests that the largest dust grains is about 10 times that of the smallest dust grains for a typical dusty plasma [19]. Thus, the propagation distance of the largest dust grains is 100 times less than that of the smallest dust grains.…”

“…For a typical dusty plasma [19]: n i0 $ 10 5 -10 10 cm À3 , T i $ T e $ 0.1 eV, n d0 $ 10 5 cm À3 , Q d $ (À10 4 e)-(À10 5 e), m d $ 10 À15 -10 À12 g $ 10 9 À 10 12 m i , q d $ 1 gcm À3 , a $ 0.1-1 lm, then we estimated that K $ 10 À12 -10 À20 , k z $ 10 8 -10 9 , k m $ 4. If T il is large enough, we approximately obtain the following equation [19]: …”

Interaction and resonance phenomena of multi-soliton

“…By using the perturbation methods [21][22][23][24] and other mathematical method with the help of the computer [25,26], many authors have obtain the KP equation from many branches of physics [27][28][29]. Therefore, to solve the KP equation is one of the interesting problems nowadays.…”