Geodesic
Rotating Loop Soliton of the Coupled Dispersionless Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 3, pp. 419-428 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate soliton solutions of the coupled dispersionless equations that describe a current-fed string interacting with an external magnetic field in three-dimensional Euclidean space with bilinear equations. We obtain a new type of loop soliton solutions that rotate around the $Z$ axis. We also investigate the two-soliton interaction.
Keywords: string model, dispersionless equations, rotating soliton.
Mots-clés : loop solitons 
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     title = {Rotating {Loop} {Soliton} of the {Coupled} {Dispersionless} {Equations}},
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K. Kakuhata; K. Konno. Rotating Loop Soliton of the Coupled Dispersionless Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 3, pp. 419-428. http://geodesic.mathdoc.fr/item/TMF_2002_133_3_a7/

[1] H. Kakuhata, K. Konno, J. Phys. Soc. Japan, 65 (1996), 340 | DOI | MR | Zbl

[2] H. Kakuhata, K. Konno, J. Phys. A, 34 (1997), L401 ; V. P. Kotlyarov, J. Phys. Soc. Japan, 63 (1994), 3535 ; H. Kakuhata, K. Konno, J. Phys. Soc. Japan, 65 (1996), 1 | DOI | MR | DOI | MR | Zbl | DOI | MR | Zbl

[3] K. Konno, Appl. Anal., 57 (1995), 209 | DOI | MR | Zbl

[4] H. Kakuhata, K. Konno, J. Phys. Soc. Japan, 68 (1999), 757 | DOI | MR | Zbl

[5] T. Alagesan, K. Porsezian, Chaos, Solitons, and Fractrals, 7 (1996), 1209 ; 8 (1997), 1645 | DOI | MR | Zbl | DOI | MR | Zbl

[6] K. Konno, A. Jeffrey, “The loop soliton”, Advances in Nonlinear Waves, 1, Res. Notes Math., 95, ed. L. Debnath, Pitman, Boston, 1984, 162 | MR

[7] K. Konno, H. Kakuhata, J. Phys. Soc. Japan, 65 (1996), 713 | DOI | MR