Exact Traveling Solutions to a Kind of Nonlinear Evolution Equation

With the help of software Maple, Wu's method and Improved Homogeneous Balance Method are used to study exact traveling solutions of a kind of nonlinear evolution equation. This way Jumbo-Miwa equation can be solved , and new solitary wave solutions and periodic wave solutions obtained, including Lu's results. This approach can also be applied to figure out other nonlinear evolution equations.