On traveling wave solutions: the decoupled nonlinear Schrödinger equations with inter modal dispersion

In this article, the decoupled nonlinear Schrdingers equations have been considered that describe the model of dual-core fibers with group velocity mismatch, group velocity dispersion, and spatio-temporal dispersion. These equations are analyzed using two different integrations schemes, namely, extended tanh-function and sinecosine schemes. The different kind of traveling wave solutions: solitary, topological, periodic and rational, fall out as by-product of these schemes. Finally, the existence of the solutions for the constraint conditions is also shown.

Keywords:

traveling wave solutions , dual-core model , Decoupled nonlinear Schr¨odinger’s equation , Integration schemes