Novel wave surfaces to the fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation

In this work, we apply the improved Bernoulli sub-equation function method to the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation. We obtain new travelling wave solutions to this model for values of M, n and m. We have obtained hyperbolic function solutions that describe some physical phenomena. Two- and three-dimensional surfaces of travelling wave solutions are plotted by using Wolfram Mathematica 9. At the end of this study, a conclusion is given by mentioning important findings.

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