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In this article, we present a new form of solutions to the Chiral/perturbed Chiral nonlinear Schrödinger equation, using the unified solver method. This solver introduces the closed formula in an explicit way. In each problem, different families of elliptic functions solutions are found under suitable conditions. Moreover, some cases of hyperbolic solutions are obtained. The acquired solutions may be applicable for explaining various complex phenomena in the quantum Hall effect. The presented study displays that the proposed solver is simple, powerful and sturdy. For more details about the physical dynamical representation of the presented solutions, we introduce some graphs of some selected solutions using Matlab software. Finally, the presented solver can be used to solve many other models in real life problems.
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1 Department of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia
2 Department of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail, Saudi Arabia
3 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt; Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia