Abstract
In this work, we established some exact solutions for the (1 + 1)-dimensional and (2 + 1)-dimensional fifth-order integrable equations ((1+1)D and (2+1)D FOIEs) which is considered based on the improved tanh(ϕ(ξ)/2)-expansion method (IThEM), by utilizing Maple software. We obtained new periodic solitary wave solutions. The obtained solutions include soliton, periodic, kink, kink-singular wave solutions. Comparing our new results with Wazwaz results, namely, Hereman-Nuseri method [2, 3] show that our results give the further solutions. Many other such types of nonlinear equations arising in uid dynamics, plasma physics and nonlinear physics.
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