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On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation
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10.1063/1.4792268
/content/aip/journal/chaos/23/1/10.1063/1.4792268
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/1/10.1063/1.4792268
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Solution to the ecKP-I equation obtained as the image of the lump (31) with under the action of the map (30) for a = 0.01 and several values of τ.

Image of FIG. 2.
FIG. 2.

Solution to the ecKP-I equation obtained as the image of the lump (31) with under the action of the map (30) for a = 1 and several values of τ.

Image of FIG. 3.
FIG. 3.

2-soliton solution of the ecKP-II equation for a = 0.01 with for several values of τ.

Image of FIG. 4.
FIG. 4.

2-soliton solution of the ecKP-II equation for a = 1 with for several values of τ.

Image of FIG. 5.
FIG. 5.

Surface wave corresponding to the one-soliton solution (34) of the ecKP-II equation with K = 1 and L = 0 for t = 0 (top left), t = 0.25 (top right), t = 0.5 (bottom left), and t = 1 (bottom right).

Image of FIG. 6.
FIG. 6.

Surface wave corresponding to the one-soliton solution (34) of the ecKP-II equation with K = 1 and L = 0.1 for t = 0 (top left), t = 0.25 (top right), t = 0.5 (bottom left), and t = 1 (bottom right).

Image of FIG. 7.
FIG. 7.

Surface wave corresponding to the one-soliton solution (34) of the ecKP-II equation with K = 1 and L = –0.5 for t = 0 (top left), t = 0.25 (top right), t = 0.5 (bottom left), and t = 2 (bottom right).

Image of FIG. 8.
FIG. 8.

Surface waves corresponding to the one-soliton solution of the ecKP-II Eq. (34) with K = 1.5 and L = 0 for t = 0 (left) and t = 2 (right).

Image of FIG. 9.
FIG. 9.

Surface waves corresponding to the one-soliton solution of the ecKP-II Eq. (34) with K = 1.6 and L = 0.1 for t = 0 (left) and t = 2 (right).

Image of FIG. 10.
FIG. 10.

Surface waves corresponding to the exceptional one-soliton solution of the ecKP-II Eq. (34) with K = 1.5 and L defined by Eq. (40) ( ) for t = 0 (left) and t = 1 (right).

Image of FIG. 11.
FIG. 11.

Surface wave corresponding to the solution of the ecKP-II equation obtained from the canonical KP-soliton with for t = 0.5 (left) and t = 1 (right).

Image of FIG. 12.
FIG. 12.

Surface waves corresponding to the two-soliton solution of the ecKP-II equation with for t = 1 (top left), t = 2 (top right), t = 3 (bottom left), and t = 4 (bottom right).

Image of FIG. 13.
FIG. 13.

Surface waves corresponding to the two-soliton solution of the ecKP-II equation with for t = 0 (top left), t = 0.5 (top right), t = 1 (bottom left), and t = 2 (bottom right).

Image of FIG. 14.
FIG. 14.

Surface waves corresponding to the ecKP-I lump solution with , for t = 0 (top left), t = 0.5 (top right), t = 1 (bottom left), and t = 2 (bottom right).

Image of FIG. 15.
FIG. 15.

Genus 2 solution (42) to the ecKP-II equation for a = 0.01 generated by the curve for several values of τ.

Image of FIG. 16.
FIG. 16.

Genus 2 solution (42) to the ecKP-II equation for a = 1 generated by the curve for several values of τ.

Image of FIG. 17.
FIG. 17.

Genus 3 solution (42) to the ecKP-II equation for a = 0.01 (left)and a = 1 (right), generated by the curve at .

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2013-02-21
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/1/10.1063/1.4792268
10.1063/1.4792268
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