New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions

In this investigation, a novel (3+1)-dimensional Lax integrable Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation is constructed and analyzed analytically. The Painlevé integrability for the mentioned model examined. bilinear form applied investigating multiple-soliton solutions. Moreover, we employ positive quadratic function method to create class of lump solutions using distinct parameters values. current study serves as guide explain many nonlinear phenomena that arise in numerous scientific domains, such fluid mechanics; physics plasmas, oceans, seas; so on.