An exponential expansion method and its application to the strain wave equation in microstructured solids

(in lingua inglese)

In this article, we have developed a new exponential expansion method and successfully implemented to obtain more explicit and exact traveling wave solutions to the nonlinear evolution equation via the strain wave equation. This method not only produces the same solutions but can also pick up what we believe to be new solutions missed by other researchers. The results indicate the strain wave equation admit multiple exact traveling wave solutions with few parameters. The type of exact solitary wave solution is different along with different value of arbitrary parameters.