Optical solitons with Biswas–Arshed model using mapping method

In this work, the Biswas–Arshed model with Kerr law nonlinearity in the absence of self-phase modulation (SPM) and where group velocity dispersion (GVD) is insignificantly small, is studied for optical solitons using the sustained effort of several forms of mapping methods. Both spatio-temporal dispersion of third and second order are comprised to balance this model for low group velocity dispersion. When the modulus m of the Jacobi elliptic functions approaches 0 and 1, the solutions are derived in terms of trigonometric functions and hyperbolic functions respectively. From this scheme singular, dark and bright soliton solutions appear.