Geodesic
Stretching and Shrinking of the Loop Soliton Interacting with a External Field
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 201-208 Cet article a éte moissonné depuis la source Math-Net.Ru

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The integrable equation of motion of the loop soliton interacting with an external field is considered from the standpoint of stretching and/or shrinking of the loop. To study the role of the elastic force and the nonlinear forces, the basic equation is divided into three equations. We obtain stationary solutions for these equations and numerically solve their initial value problems to seek stability of the loop soliton.
Mots-clés : loop soliton
Keywords: string, stretching, integrable equation, stability. 
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     author = {K. Konno and K. Kakuhata},
     title = {Stretching and {Shrinking} of the {Loop} {Soliton} {Interacting} with a {External} {Field}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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K. Konno; K. Kakuhata. Stretching and Shrinking of the Loop Soliton Interacting with a External Field. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 201-208. http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a5/

[1] H. Kakuhata, K. Konno, J. Phys. Soc. Japan, 68 (1999), 756 | DOI | MR

[2] Kh. Kakukhata, K. Konno, TMF, 133 (2002), 419 | DOI | MR | Zbl