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Initial-Value Problem of a Coupled Dispersionless System: Dynamical System Approach |
| Kuetche Kamgang Victor1,2, Gambo Betchewe1,2, Bouetou Bouetou Thomas1,2,3, Timoleon Crepin Kofane 2,3 |
| 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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Kuetche Kamgang Victor, Gambo Betchewe, Bouetou Bouetou Thomas et al 2009 Chin. Phys. Lett. 26 030506 |
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Abstract We investigate the dynamical behaviour of a coupled dispersionless system (CDS) by solving its initial-value problem following a dynamical system approach. As a result, we unearth a typical miscellaneous travelling waves including the localized and periodic ones. We also investigate the energy density of such waves and find that under some boundary conditions, the localized waves moving towards positive direction are more stable than the periodic waves which on contrary stand for the most stable travelling waves in another situation of boundary conditions.
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05.45.Yv
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Received: 06 October 2008
Published: 19 February 2009
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