This article is cited in 20 papers

Rotating Loop Soliton of the Coupled Dispersionless Equations

K. Kakuhata^a, K. Konno<sup>b

a</sup> Toyama University
^b Nihon University

Abstract: 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, loop solitons, rotating soliton.

DOI: 10.4213/tmf408

 English version: Theoretical and Mathematical Physics, 2002, 133:3, 1675–1683

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