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In this work, exact solutions of the (3+1) dimensional Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation have been produced by applying the modified sub-equation method, which is reliable and effective among analytical methods. This equation is a wavelet equation that describes non-linear and dispersive wave propagation. The aim of considering this model is to model non-linear and dispersive interactions in an environment and enable their analysis by analytical methods. By applying this method, different wave solution classes in hyperbolic and rational forms are obtained. The graphs of solitary waves produced are in 2D, 3D and contour types. In this study, computer package programs have been used for complex operations and drawing graphics.
Hülya Durur (Tue,) studied this question.