Constructing new soliton solutions for Kudryashov’s quintuple self-phase modulation with dual-form of generalized nonlocal nonlinearity using extended F-expansion method

In this paper, we discussed analytically the nonlinear Schrödinger’s equation having Kudryashov’s quintuple power law of refractive index together with dual form of generalized nonlocal nonlinearity with the aid of extended F-expansion method. As a result, we have found a variety of new families of exact traveling wave solutions including bright soliton solutions, dark soliton solutions, singular soliton solutions, periodic solutions, Jacobi elliptic function solutions, rational solutions and exponential solutions. In this work, periodic solutions, rational solutions and exponential solutions are obtained to the governing model for the first time. For physical description of our newly obtained solutions, we have expressed them graphically to explain more efficiently the behavior of different shapes of solutions.