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Solitons and dynamics for the integrable nonlocal pair-transition-coupled nonlinear Schrödinger equation

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  • Lou, Yu
  • Zhang, Yi
  • Ye, Rusuo
  • Li, Miao

Abstract

In this paper, we investigate the integrable nonlocal pair-transition-coupled nonlinear Schrödinger equation with the help of the loop group method. By constructing the Darboux transformation associated with a variable separation technique, some new soliton solutions such as the doubly-periodic bright/dark/antidark soliton, X-shaped kink, rogue wave-like soliton, mixed type kink and double breather (hump) and different types of novel rational solutions are easily derived. The obtained results are different from the solutions of the local nonlinear equations and nonlocal nonlinear Schrödinger equation. With appropriate choices of free parameters, the wave structures have large changes. Furthermore, the dynamic characteristic of soliton solutions are discussed on the basics of figures.

Suggested Citation

  • Lou, Yu & Zhang, Yi & Ye, Rusuo & Li, Miao, 2021. "Solitons and dynamics for the integrable nonlocal pair-transition-coupled nonlinear Schrödinger equation," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    • Handle: RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321005063
    DOI: 10.1016/j.amc.2021.126417
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    References listed on IDEAS

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    1. Li, Bang-Qing & Ma, Yu-Lan, 2020. "Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
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    Cited by:

    1. Lou, Yu & Zhang, Yi, 2022. "Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 22-31.

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