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Bell-polynomial approach and N-soliton solution for the extended Lotka–Volterra equation in plasmas
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10.1063/1.3580272
/content/aip/journal/jmp/52/4/10.1063/1.3580272
http://aip.metastore.ingenta.com/content/aip/journal/jmp/52/4/10.1063/1.3580272
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Evolution of the one-soliton solution via Soluton (43). Parameters adopted here are: (a) k = 2, p 1 = 0.35, and ; (b) p 1 = 0.13 and at t = 10.

Image of FIG. 2.
FIG. 2.

Influence of the parameter k on the soliton velocity and amplitude.

Image of FIG. 3.
FIG. 3.

Influence of the parameters k and p i  (i = 1, 2) on the collision phase shift of the solitons.

Image of FIG. 4.
FIG. 4.

Interaction between the two solitons via Solution (43). Parameters adopted here are: k = 2, p 1 = 0.55, p 2 = 0.9, , and .

Image of FIG. 5.
FIG. 5.

Influence of the parameters k on the nonlinear interactions between two solitons via Solution (43). Parameters adopted here are: p 1 = 0.5, p 2 = 0.8, , (a) k = 2 and (b) k = 3.

Image of FIG. 6.
FIG. 6.

Influence of the parameters p i on the nonlinear interactions between the solitons via Solution (43). Parameters adopted here are: k = 3, , (a) p 1 = 0.75, p 2 = 0.8 and (b) p 1 = 0.75, p 2 = 1.15.

Image of FIG. 7.
FIG. 7.

Interaction among the three solitons via Solution (43). Parameters adopted here are: k = 2, p 1 = 0.2, p 2 = 0.6, p 3 = 0.9, , , and .

Image of FIG. 8.
FIG. 8.

Influence of the parameters k on the nonlinear interactions among three solitons via Solution (43). Parameters adopted here are: p 1 = 0.6, p 2 = 0.7, p 3 = 0.8, , (a) k = 2 and (b) k = 4.

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/content/aip/journal/jmp/52/4/10.1063/1.3580272
2011-04-29
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Bell-polynomial approach and N-soliton solution for the extended Lotka–Volterra equation in plasmas
http://aip.metastore.ingenta.com/content/aip/journal/jmp/52/4/10.1063/1.3580272
10.1063/1.3580272
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