Investigation of solitons and mixed lump wave solutions with (3+1)-dimensional potential-YTSF equation

The article investigates the exact and mixed lump wave solitons to the (3+1)-dimensional potential YTSF equation, which is an extension of the Bogoyavlenskii-Schif equation. Different types of interaction solutions in terms of a new merge of positive quadratic functions, trigonometric functions and hyperbolic functions are obtained, which are investigated using the extended three soliton test approach. The dynamical behavior of solutions has also depicted in different 3D representations. The representations show that the soliton solutions are obtained in the form of train and cusp. Some other solutions like lamb wave with high peak, and lump solutions with kink background are also observed in these representations.