Traveling Wave-Guide Channels of a New Coupled Integrable Dispersionless System |
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| Authors: | Abbagari Souleymanou Victor KKuetche Thomas BBouetou Timoleon CKofane |
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| Institution: | 1.National Advanced School of Engineering, University of Yaounde I, P.O. Box 8390, Cameroon;2.Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Cameroon;3.Department of Mathematics, Faculty of Science, University of Yaounde I, P.O. Box 812, Cameroon |
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| Abstract: | In the wake of the recent investigation of new coupled integrable dispersionless equations by means of the Darboux transformation Zhaqilao,et al.,Chin.Phys.B 18(2009) 1780],we carry out the initial value analysis of the previous system using the fourth-order Runge-Kutta's computational scheme.As a result,while depicting its phase portraits accordingly,we show that the above dispersionless system actually supports two kinds of solutions amongst which the localized traveling wave-guide channels.In addition,paying particular interests to such localized structures,we construct the bilinear transformation of the current system from which scattering amongst the above waves can be deeply studied. |
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| Keywords: | dispersionaless equations Darboux transformation wave guide channels bilinear transformation |
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