Complex exact solutions of the coupled higher-order nonlinear Schrödinger model with variable coefficients

Abstract The coupled higher-order nonlinear Schrödinger model with variable coefficients, which can more accurately describe physical phenomena under weak nonlinear effects and provides awfully useful assistance for understanding the essence of phenomena and developing new technologies and applications, is researched drawing support from unified and improved F -expansion methods. One fairly definite fact is that the research presented in this paper has never been found before in the existing literature. A great deal of distinct styles of solutions to the above model, such as complex solitary wave, soliton wave, elliptic wave, rational, hyperbolic trigonometric and trigonometric solutions, are reaped relying on above two techniques and corresponding mathematical software. After obtaining these valuable solutions, we analyze and study them based on 2D, 3D and contour diagrams in the case of selecting appropriate values of undetermined parameters, which conduce to deeply comprehend the connotation of the physical phenomena behind model.