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Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers

Author

Listed:
  • Chao Tang
  • Zhao Li

Abstract

The main purpose of this paper is to investigate the bifurcation and traveling wave solution of the Fokas system in monomode optical fibers by using the method of planar dynamical system. Firstly, the Fokas systems are reduced to two‐dimensional planar dynamic system by using the traveling wave transformation. Secondly, by selecting fixed parameters, the phase portraits are drawn by using the Maple software. Finally, the Jacobi elliptic function solutions, the hyperbolic function solutions, and trigonometric function solutions of the Fokas system are obtained.

Suggested Citation

  • Chao Tang & Zhao Li, 2023. "Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers," Advances in Mathematical Physics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlamp:v:2023:y:2023:i:1:n:8783222
    DOI: 10.1155/2023/8783222
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    References listed on IDEAS

    as
    1. Chen Peng & Furong Zhang & Hongwei Zhao & Zhao Li, 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, John Wiley & Sons, vol. 2022(1).
    2. Tang, Lu, 2022. "Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. 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.
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