Lie symmetry analysis is performed on a two-dimensional generalized Sawada–Kotera equation, which arises in various problems in mathematical physics. Exact solutions are obtained using the Lie point symmetries method and the simplest equation method.
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Abdullahi Rashid Adem would like to thank the Faculty Research Committee of FAST, North-West University, Mafikeng Campus, South Africa, for its financial support. We thank the editor and referees for valuable comments. This work is supported by the National Natural Science Foundation of China under Grant No. 61308018, by China Postdoctoral Science Foundation under Grant No. 2014T70031, by the Fundamental Research Funds for the Central Universities of China (2014RC019 and 2015JBM111).
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Adem, A.R., Lü, X. Travelling wave solutions of a two-dimensional generalized Sawada–Kotera equation. Nonlinear Dyn 84, 915–922 (2016). https://doi.org/10.1007/s11071-015-2538-7