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Novikov, S.P., Manakov, S.V., Pitaevskii, L.P. and Zakkarov, V.E. (1984) Theory of Solitons, The Inverse Scattering Method. Consultant Bureau, New York.

has been cited by the following article:

• TITLE: N-Rotating Loop-Soliton Solution of the Coupled Integrable Dispersionless Equation

  AUTHORS: Souleymanou Abbagari, Saliou Youssoufa, Hermann T. Tchokouansi, Victor K. Kuetche, Thomas B. Bouetou, Timoleon C. Kofane

  KEYWORDS: Coupled Integrable Dispersionless Equation, Bilinear Method, Soliton Solutions, Perturbation Technique, Symbolic Computation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.6, June 29, 2017

  ABSTRACT: In this paper, we investigate the Rotating N Loop-Soliton solution of the coupled integrable dispersionless equation (CIDE) that describes a current-fed string within an external magnetic field in 2D-space. Through a set of independent variable transformation, we derive the bilinear form of the CIDE Equation. Based on the Hirota’s method, Perturbation technique and Symbolic computation, we present the analytic N-rotating loop soliton solution and proceed to some illustrations by presenting the cases of three- and four-soliton solutions.