Solitary wave solutions of the (4+1)-dimensional Fokas equation via an efficient integration technique

Abstract

In this study, the soliton solutions of the integrable nonlinear (4+1)-dimensional Fokas equation, which has a unique importance in high-dimensional problems, are examined by the new Kudryashov method, which has recently been introduced into literature. In addition to obtaining the basic soliton solutions of the (4+1)-dimensional Fokas equation, it is showed that the method can be easily used effectively for high-dimensional problems and is also reliable. 3D, 2D and contour presentations of the graphs of the soliton solutions obtained in the study were made and the necessary explanations were also made.

On the optical soliton solutions of (2+1)-Biswas-Milovic equation via modified new Kudryashov method

“…The modified new Kudryashov method [23,24] which is the modified version of the new Kudryashov method [23,25,26], proposes that the following formula is the solution of eq. ( 3):…”