This talk studies the solution of the Kadomtsev-Petviasvili equation with power law nonlinearity in 1+3 dimensions.
The Lie symmetry approach will be used for the analysis in conjunction with the extended tanh-function and G`/ G methods. Subsequently, the soliton solution with power law nonlinearity will be extracted for the underlying equation. Both topological and non-topological solitons will be shown.