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New Optical Solitons in Bragg Grating Fibers for the Nonlinear Coupled (2 + 1)‐Dimensional Kundu‐Mukherjee‐Naskar System via Complete Discrimination System Method

Chen Peng, Furong Zhang, Hongwei Zhao and Zhao Li

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

Abstract: In this paper, the coupled Kundu‐Mukherjee‐Naskar (KMN) model in Bragg grating fibers is considered to retrieve some new optical soliton solutions in (2 + 1) dimensions. Plenty of new exact solutions, including rational function solutions and triangle function solutions, in addition to the Jacobian elliptic function solutions, are obtained by using a complete discrimination system method. The 3D‐surface plots, 2D‐shape plots, and corresponding 2D contour plots of some obtained solutions are drawn, which provides a visualized structures and propagation of solitons. The novel results are new and show the effectiveness of the proposed method.

Date: 2022
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https://doi.org/10.1155/2022/8184270

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