Abstract
In this chapter, \((G'/G)\)-expansion method is employed to derive new exact solutions of a coupled Boussinesq equation. Three types of solutions are obtained, namely, hyperbolic function solutions, trigonometric function solutions and rational solutions. These solutions are travelling wave solutions.
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Acknowledgement
DMM and CMK would like to thank the Organizing Committee of “International Conference: AMMCS-2013,” Waterloo, Canada for their kind hospitality during the conference. DMM also thanks the Material Science Innovation and Modelling (MaSIM), a Research Focus Area in the Faculty of Agriculture, Science and Technology, North-West University, Mafikeng Campus for the financial support.
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Mothibi, D., Khalique, C. (2015). Exact Solutions of a Coupled Boussinesq Equation. In: Cojocaru, M., Kotsireas, I., Makarov, R., Melnik, R., Shodiev, H. (eds) Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science. Springer Proceedings in Mathematics & Statistics, vol 117. Springer, Cham. https://doi.org/10.1007/978-3-319-12307-3_46
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