ANALYTICAL SOLUTIONS OF NONLINEAR LIOUVILLE EQUATION USING TAN(ϕ(ξ)/2)-EXPANSION METHOD

In this study, we consider the tan(ϕ(ξ)/2)-expansion method for the traveling wave solutions of Liouville equation. We find some traveling wave solutions such as hyperbolic function, trigonometric function, exponential function solutions. With this method, further solutions can be obtained comparing with other methods.