New Exact Traveling Wave Solutions of Nonlinear Evolution Equations with Variable Coefficients

The extended, (G'/G)-expansion method with a computerized symbolic computation is used for constructing the exact traveling wave solutions of nonlinear evolution equations with variable coefficients arising in physics. The obtained travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and rational functions. The applied method will be used in further works to establish more entirely new solutions for other kinds of two nonlinear evolution equations with variable coefficients arising in physics, namely, the variable coefficients nonlinear Sharma-Tasso-Olver (STO) equation and the generalized Zakharov Kuznetsov equation with variable coefficients.