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Physics Journal, Vol.1, No.3, Nov. 2015, Pub. Date: Jan. 9, 2016
Combined Peakons and Multiple-Peak Solutions of the Camassa- Holm and Modified KdV Equations and Their Conditions of Obtention
Pages: 367-374 Views: 930 Downloads: 602
[01] J. R. Bogning, Department of Physics, University of Bamenda, Bamenda, Cameroon.
[02] G. Fautso Kuiaté, Department of Physics, University of Bamenda, Bamenda, Cameroon.
[03] H. M. Omanda, Department of Physics, Ecole Normale Supérieure de Libreville, Libreville, Gabon.
[04] C. T. Djeumen Tchaho, Faculty of Science, Department of Physics, University of Yaoundé, Yaoundé, Cameroon.
In this work, we establish conditions for obtaining the generalized analytic solutions of the type combined peakons in the Camassa-Holm and modified KdV equations. We obtain in the two cases other types of solutions that have the same analytic form that of the peakons but that are not peakons. They present for most multiple peaks. These types of solutions in the case of Camassa-Holm equation are obtained when the characteristic parameter k of the equation vanishes. Some profiles of solutions obtained are drawn in 3D to verify the reliability of analytic results.
Peakons, Multiple Peaks, Modified KdV Equation, Camassa-Holm Equation
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