New Perceptions for the Soliton Solutions to the Complex Wave Patterns Model Against its Numerical Solutions

The main target of this article is extracting new various types of the solitons emerging from the complex wave patterns which is famous model arising in telecommunications engineering line. These new visions of these solitons will be constructed in the framework of three impressive techniques that are used for the first time for this purpose. The three suggested different techniques are the Paul-Painlevé approach method (PPAM), the Ricatti-Bernolli Sub ODE method (RBSOM) and the variational iteration method VIM. The first and second techniques are the famous two ansatze methods while the third one is the famous numerical method. Many new different perceptions of the soliton solutions to the proposed model through these different algorithms that are implemented individually and parallel have been documented. Furthermore, the comparison that isn't only with the solutions achieved by these suggested techniques but also with that realized before via other authors who used various algorithms has been demonstrated.