On soliton structure of higher order (2+1)-dimensional equations of a relaxing medium beneath high-frequency perturbations

We investigate the soliton structure of novel (2+1)-dimensional nonlinear partial differential evolution(NLPDE) equations which may govern the behavior of a barothropic relaxing medium beneath high-frequency perturbations. As a result, we may derive some soliton solutions amongst which three typical pattern formations with loop-, cusp- and hump-like shapes.