New kink multi-soliton solutions for the (3+1)-dimensional potential-Yu-Toda-Sasa-Fukuyama equation

By means of transformation of unknown function, the non-integrable system of (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama (YTSF) equation is converted into the combined equation of differently two bilinear forms. By the Darvishi's idea, some new kink multi-soliton solutions are obtained by using homoclinic test approach and three-wave method respectively.