On exact special solutions of integrable nonlinear dispersive equation

In this paper, we obtained integrable evolution equation from binormal motions of curves in the 3-dimensional Euclidean space τb=(τm)sss-(τm+2)s+(τm)s. Afterwards, this equation is solved by sine-cosine method and compacton solutions are obtained. As a result, abundant new compactons solitons with the absence of infinite wings, solitary pattern solutions having infinite slopes or cups, solitary wave and periodic wave solutions are obtained.