Author(s)

Souleymanou Abbagari^1,2,3,4, Saliou Youssoufa^2,3,4, Hermann T. Tchokouansi^2,3,4, Victor K. Kuetche^2,3,4, Thomas B. Bouetou^2,3,4, Timoleon C. Kofane^2,4

¹Department of Basic Science, Law and Humanities, Institute of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon.
²Laboratory of Mechanics, Materials and Structures, Department of Physics, University of Yaoundé I, Yaoundé, Cameroon.
³National Advanced School of Engineering, University of Yaoundé I, Yaoundé, Cameroon.
⁴Centre d’Excellence en Technologies de l’Information et de la Communication (CETIC), University of Yaoundé I, Yaoundé, Cameroon.

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.

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

Abbagari, S. , Youssoufa, S. , Tchokouansi, H. , Kuetche, V. , B. Bouetou, T. and C. Kofane, T. (2017) N-Rotating Loop-Soliton Solution of the Coupled Integrable Dispersionless Equation. Journal of Applied Mathematics and Physics, 5, 1370-1379. doi: 10.4236/jamp.2017.56113.