Hybridization of Solitary Wave Solutions in (2+1)-dimentional Complex Ginzburg-Landau Equation
Jean Pierre Ngantcha
Laboratoire de Mécanique des matériaux, Ecole Polytechnique, Université des Sciences et Techniques de Masuku, P.O. Box 941, Franceville, Gabon.
Hugues Martial Omanda
African Centre for Advanced Studies, P.O. Box 4477, Yaoundé, Cameroon and Laboratoire Pluridisciplinaire des Sciences, Ecole Normale Supérieure, P.O. Box 17009, Libreville, Gabon.
Clovis Taki Djeumen Tchaho *
African Centre for Advanced Studies, P.O. Box 4477, Yaoundé, Cameroon and Lycée Technique Fulbert Bongotha, P.O. Box 15, Moanda, Gabon.
Bruno Rodin Mbock Um
Laboratoire de Mécanique des matériaux, Ecole Polytechnique, Université des Sciences et Techniques de Masuku, P.O. Box 941, Franceville, Gabon.
Thierry Blanchard Ekogo
Département de Physique, Université des Sciences et Techniques de Masuku, P.O. Box 943, Franceville, Gabon and Institut International de Recherches Biomédicales et de Biotechnologies Carl Kambangoye (IRBK), Université Internationale de Libreville (UIL), P.O. Box 13131, Libreville, Gabon.
Jean Roger Bogning
Department of Physics, HigherTeacher Training College, University of Bamenda, P.O. Box 39, Bamenda, Cameroon.
*Author to whom correspondence should be addressed.
Abstract
The reflection carried out in this manuscript concerns the construction of prototypes of hybrid solitary waves, solutions of the (2+1)-dimensional complex Ginzburg-Landau equation. The principle of construction consists in injecting into the equation to be solved an ansatz that one would like solution, and that its analytical sequence results from a combination of the analytical sequences of the classical solitary waves.
Then, the constraints imposed by the resolution allow to extract exact or approximate solution. As part of this work, the solution function to be constructed from the start is made up of a combination of four analytical sequences of solitary waves of the kink and pulse type. To this end, we have obtained, using a rigorous mathematical approach, important results whose graphic exploitations have made it possible to better characterize them.
Keywords: Hybridization of solitary wave solutions, (2 1)-dimensional complex Ginzburg-Landau equation, Bogning-Djeumen Tchaho-Kofane method, analytical sequences of the classical solitary waves