Abstract
In this paper we discussed analytically integrable coupled nonlinear Schrödinger Equation with Kerr law nonlinearity with the aid of newly developed technique named as extended modified auxiliary equation mapping method. As a result of which we have found a variety of new families of solitary wave solutions including bright, dark, half bright, half dark, combined, periodic, doubly periodic with the help of three parameters which is the key importance of this method. For physical description of our newly obtained solutions we have expressed them graphically using Mathematica 10.4 to explain more efficiently the behavior of different shapes of solutions.
•We present application in an optical fiber.•Higher order non-linear Schrödinger equation.•Optical solitary wave solutions.•The hydrodynamic mathematical methods.