Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schrodinger equation and its applications in mono-mode optical fibers

In mono-mode optical fibers, the higher order non-linear Schrodinger equation (NLSE) describes the propagation of enormously short light pulses. We constructed optical soli tons and, solitary wave solutions of higher order NLSE mono-mode optical fibers via employing modified extended mapping method which has important applications in Mathematics and physics. Furthermore, the formation conditions are also given on parameters in which optical bright and dark solitons can exist for this media. The moment of the obtained solutions are also given graphically, that helps to realize the physical phenomena's of this model. The modulation instability analysis is utilized to discuss the model stability, which verifies that all obtained solutions are exact and stable. Many other such types of models arising in applied sciences can also be solved by this reliable, powerful and effective method. The method can also be functional to other sorts of higher order nonlinear problems in contemporary areas of research. (C) 2017 Elsevier Ltd. All rights reserved.