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Dynamical System Approach to a Coupled Dispersionless System: Localized and Periodic Traveling Waves |
| Gambo Betchewe1,2, Kuetche Kamgang Victor1,2, Bouetou Bouetou Thomas1,2,3, Timoleon Crepin Kofane2,3 |
| 1Ecole Nationale Supérieure Polytechnique, University of Yaounde I, PO Box 8390, Cameroon2Department of Physics, Faculty of Science, University of Yaounde I, PO Box. 812, Cameroon3The Abdus Salam International Centre for Theoretical Physics, PO Box 586, Strada Costiera, II-34014, Trieste, Italy |
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Gambo Betchewe, Kuetche Kamgang Victor, Bouetou Bouetou Thomas et al 2009 Chin. Phys. Lett. 26 060503 |
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Abstract We investigate the dynamical behavior of a coupled dispersionless system describing a current-conducting string with infinite length within a magnetic field. Thus, following a dynamical system approach, we unwrap typical miscellaneous traveling waves including localized and periodic ones. Studying the relative stabilities of such structures through their energy densities, we find that under some boundary conditions, localized waves moving in positive directions are more stable than periodic waves which in contrast stand for the most stable traveling waves in another boundary condition situation.
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Received: 09 February 2009
Published: 01 June 2009
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