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.