New diverse soliton solutions for the coupled Konno-Oono equations

Abstract

The main aim of this article is to established new impressive diverse soliton solutions to the nonlinear Coupled Konno-Oono model (NCKOM) that represents current-field string interact with an external magnetic field. The achieved soliton solutions will give stretch study for this model and all related phenomena’s. Three different schemas have been called for this purpose. The first one is the extended direct algebraic method (EDAM), while the second is the Paul-Painlevé approach method (PPAM) and the third one is the Riccati-Bernoulli Sub-ODE method (RBSODM). Brief comparisons between our results and that achieved previously have been listed.