Symmetry reduction and new non-traveling wave solutions of (2 + 1)-dimensional breaking soliton equation |
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| Institution: | 1. Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon;2. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon;3. African Center of Excellence in Information and Communication Technologies, University of Yaounde I, P.O Box 812, Yaounde, Cameroon |
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| Abstract: | In this paper, the new idea of a combination of Lie group method and homoclinic test technique is first proposed to seek non-traveling wave solutions of (2 + 1)-dimensional breaking soliton equation. The system is reduced to some (1 + 1)-dimensional nonlinear equations by applying the Lie group method and solves reduced equation with homoclinic test technique. Based on this idea and with the aid of symbolic computation, some new explicit solutions of similar systems can be obtained. |
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