Abstract
Under investigation in this paper is a two-dimensional Korteweg de Vries model, which is a spacial extension of the Korteweg de Vries model. An infinite number of nonlocal conservation laws are given which indicate the integrability of this model. Exact soliton solutions are then respectively derived by means of the multiple exp-function method.
Acknowledgements
Abdullahi Rashid Adem would like to thank the Material Science Innovation and Modelling (MaSIM), a Research Focus Area in the Faculty of Agriculture, Science and Technology, North-West University, Mafikeng Campus, South Africa, for its financial support.
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