Applications of HTA and EHTA to YTSF Equation

New approaches, homoclinic test approach (HTA) and extended homoclinic test approach (EHTA), are proposed to seek solitary-wave solution of high dimensional nonlinear wave system. Exact periodic solitary-wave, periodic soliton, cross solitary-wave and doubly periodic wave solutions for YTSF equation are obtained using HTA and EHTA, respectively.