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Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model
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10.1063/1.4790827
/content/aip/journal/chaos/23/1/10.1063/1.4790827
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/1/10.1063/1.4790827
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) is the contour plot of the one-soliton via Expression (8) with a(t) = 5, (b) the accelerating one-soliton via Expression (8) with a(t) = 5 t, and (c) the periodic bending of the one-soliton via Expression (8) with a(t) = 5 cos(t). Other parameters adopted here are: c(t) = 2, , m = 2+i and c = 0.

Image of FIG. 2.
FIG. 2.

(a) represents the evolution and collision of the two-soliton via Expression (9) with and , (b) is shape and surface of the earthwormon via Expression (9) with and , and (c) is the contour plot corresponding to (b). The coefficient function adopted here is a(t) = 2.

Image of FIG. 3.
FIG. 3.

(a) is the accelerating two-soliton via Expression (9) with and a(t) = 5 t, (b) is the decelerating two-soliton via Expression (9) with and a(t) = −5 t, and (c) denotes the parallel propagation of the two-soliton via Expression (9) with and a(t) = 0.

Image of FIG. 4.
FIG. 4.

Periodic variable-motion of the two-soliton via Expression (9) with and a(t) = 5 sin(t) in (a), while a(t) = 5 cos(t) in (b).

Image of FIG. 5.
FIG. 5.

(a) describes the dynamics of the accelerating earthwormon via Expression (9) with and a(t) = 3 t, and (b) is the stack-graphics corresponding to (a).

Image of FIG. 6.
FIG. 6.

(a) describes the dynamics of the decelerating earthwormon via Expression (9) with and a(t) = −3 t, and (b) is the stack-graphics corresponding to (a).

Image of FIG. 7.
FIG. 7.

Periodic acceleration and deceleration of the earthwormon via Expression (9) with and a(t) = 2 sin(t) in (a), while a(t) = 2 cos(t) in (b).

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/content/aip/journal/chaos/23/1/10.1063/1.4790827
2013-02-19
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/1/10.1063/1.4790827
10.1063/1.4790827
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