Periodic-soliton and periodic-type solutions of the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation by using BNNM

This article focuses on the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. By using bilinear neural network method, the new test functions are constructed to find the analytical solution of the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Using symbolic computing technology, periodic-soliton and periodic-type solutions of the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation are obtained. These new test functions can also be used to obtain the exact analytical solutions of other nonlinear partial differential equations.