In this article, the generalized Jacobi elliptic function expansion method with four new functions was used to fractional (3 + 1)-dimensional Kadomtsev–Petviashvili (GFKP) equation Atangana-Baleanu-Riemann derivative, and abundant types of analytical solutions GFKP were obtained. It is well known that there a tight connection between symmetry travelling wave solutions. Most existing techniques ...

We examined the (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq (KP-B) equation, which arises not only in fluid dynamics, superfluids, physics, and plasma physics but also construction of connections between hydrodynamic optical model fields. Moreover, unlike Kadomtsev–Petviashvili equation (KPE), KP-B allows modeling waves traveling both directions does require zero-mass assumption, is nec...

This study investigates the new (3+1)-dimensional shallow water wave equation. To do so, definitions of conformable derivatives and their descriptions are given. Using Riccati equation modified Kudryashov methods, exact solutions to this problem discovered. The gathered data's contour plot surfaces related 3D 2D emphasize result's physical nature. monitor problem's activity, complete necessary....