- - - Neighbourhood of Akcaglan, Imarli Street, Number: ۲۸/۴, ۲۶۰۳۰, Eskisehir, Turkey.
- - - Punjab University College of Information Technology, University of the Punjab, ۵۴۵۹۰ Lahore, Pakistan.
- - - Mathematics Department, COMSATS University Islamabad, Lahore Campus, Pakistan.
- - - Mathematics Department, National University of Computer and Emerging Sciences, Lahore, Pakistan.
- - - Department of Space Science, University of the Punjab, ۵۴۵۹۰ Lahore, Pakistan.

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.

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