Lump type solutions and interaction solutions in the (3 1) dimensional potential Yu Toda Sasa Fukuyama equation
In this work, we consider the (3 1) dimensional potential Yu Toda Sasa Fukuyama (YTSF) equation. By employing the extended homoclininc test approach and Hirota bilinear method, we derive a class of lump solutions of the potential YTSF equation. It is interesting that interaction solutions between the lump type solution and one stripe soliton, and the lump type solution and a pair of resonance solution are obtained, respectively, by using a direct method. The interaction solutions of the potential YTSF equation show that a lump type solution appears from a soliton wave and swallowed by it later, which are the completely non elastic interactions that rare to see. Moreover, we also obtain its periodic lump type solutions. It is hoped that our results can be used to enrich the dynamic behaviors of the YTSF type equations.