Abstract
We implement an efficient solver to retrieve solutions to the nonlinear new coupled Konno–Oono (CKO) equation. This solver presents the closed form of solutions. Distinct types of travelling wave solutions are revealed, for example solitary wave, dark solitons, bright solitons, combined dark–bright and periodic solitary wave solutions. These solutions can be applicable in the magnetic field. Thereafter, by utilizing Matlab 18, we present 2D and 3D figures of some acquired solutions for convenient values of the parameters. The proposed technique is direct, robust, efficacious to achieve new solutions for nonlinear partial differential equations in applied science.
•Nonlinear analysis approach is used to solve the physical models.•Applying the robust solver to the nonlinear NFPDEs.•Highly performance and efficient of the proposed solver.•Obtaining some new solutions of the NFPDEs.