Exact traveling wave solutions to the Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinear evolution equation using the VIM combined with the improved generalized tanh-coth method

摘要

In this paper, we consider the Zakharov-Kuznetsov-Benjamin BonaMahony nonlinear evolution equation and use the variational iterationmethod combined with the improved generalized tanh-coth method.This method is a powerful and advantageous mathematical tool for es-tablishing abundant exact traveling wave solutions of nonlinear partialdi erential equations. The new exact solutions consisted of trigono-metric functions solutions, hyperbolic functions solutions, exponentialfunctions solutions and rational functions solutions. We obtain exactsolutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinearevolution equation by using the variational iteration method combinedwith the improved generalized tanh-coth method.