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Explicit series solutions to nonlinear evolution equations: The sine-cosine method |
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| Authors: | Gambo Betchewe Bouetou Bouetou Thomas Kuetche Kamgang Victor Kofane Timoleon Crepin |
| Institution: | a Higher Teacher’s Training College of Maroua, University of Maroua, P.O. Box 46, Cameroon b Ecole Nationale Supérieure Polytechnique, Université de Yaoundé I, B.P. 8390, Cameroon c Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Cameroon |
| Abstract: | In this paper, a sine-cosine method is used to construct many periodic and solitary wave solutions to two nonlinear evolution systems: the coupled quadratic nonlinear equations and the coupled Klein-Gordon-Schrödinger equations. Under different parameter conditions, explicit formulas for some new periodic and solitary wave solutions are successfully obtained. The proposed solutions are found to be important for the explanation of some practical physical problems. |
| Keywords: | Sine-cosine method Periodic wave solutions Solitary wave solutions Coupled quadratic nonlinear equations Coupled Klein-Gordon-Schrö dinger equations |
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