Abstract
Abstract In current paper, a generalized KdV equation with high order nonlinearities has been investigated by the expansion and the ansatz method. The obtained solutions can be classified as periodic soliton solution, kink solution, triangular soliton solution, Bell-shaped soliton solution and multi-soliton solution. Finally, by selecting some appropriate parameters, the results are demonstrated graphically that can be applied to describe the real world phenomenon. 2010 MSC: 35C07, 35C08, 35G20, 35Q53.
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