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On exact N-loop soliton solution to nonlinear coupled dispersionless evolution equations |
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| Authors: | V.K. Kuetche T.B. Bouetou T.C. Kofane |
| Affiliation: | a Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Cameroon b Ecole Nationale Supérieure Polytechnique, Université de Yaoundé I, B.P. 8390, Cameroon c The Abdus Salam International Centre for Theoretical Physics, PO Box 586, Strada Costiera, IT-34014 Trieste, Italy |
| Abstract: | We investigate some nonlinear coupled dispersionless evolution equations (NLCDEE) modelling the dynamics of a current-fed string within an external magnetic field in 2D-space. Using a blend of transformations of independent variables, we derive from the previous equations a Schäfer-Wayne short pulse equation (SWSPE). By means of a transformation back to the original independent variables, we find the N-loop soliton solution to the coupled equations. We give some detail on the scattering behavior of two-loop solitons. |
| Keywords: | 05.45.Yv |
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