Optical solitons for Biswas–Milovic equation using the new Kudryashov’s scheme

Abstract

Purpose:This study aims to examine the optical soliton solutions of the nonlinear Schrödinger form of the (2+1)-Biswas–Milovic equation with Kerr, power and parabolic law nonlinearity. Methodology:Our method steps are as follows; we have obtained the nonlinear ordinary differential equation (NODE) and constraint relations for each Kerr, power and parabolic law nonlinearity forms of main model by using wave transform. Then we have derived the new Kudryashov method soliton solutions over NODE form and checked the obtained solutions satisfy the nonlinear partial differential equation (NLPDE). Finally, graphic drawings have been created and important comments made on the solution results. Findings:The Forms containing Kerr, power and parabolic law nonlinearity of the (2+1)-Biswas–Milovic equation (BME) have been successfully established. The new Kudryashov method (NKM) has been applied and soliton solutions obtained. It is also shown with graphic presentations that the obtained solutions have the basic soliton shapes which are dark, bright and singular. Originality:The investigation of the Kerr, power and parabolic law nonlinearity forms of the (2+1)-Biswas–Milovic equation is given in this manuscript for the first time.