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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

Author

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  • Chen Peng
  • Furong Zhang
  • Hongwei Zhao
  • Zhao Li
  • John D. Clayton

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.

Suggested Citation

  • Chen Peng & Furong Zhang & Hongwei Zhao & Zhao Li & John D. Clayton, 2022. "New Optical Solitons in Bragg Grating Fibers for the Nonlinear Coupled (2+1)-Dimensional Kundu-Mukherjee-Naskar System via Complete Discrimination System Method," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-13, June.
    • Handle: RePEc:hin:jnlamp:8184270
    DOI: 10.1155/2022/8184270
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