European Physical Journal C: Particles and Fields (Apr 2024)

Multiple mixed solutions of the nonlocal sine-Gordon equation

  • Jian Li,
  • Junsheng Duan,
  • Yan Li,
  • Chuanzhong Li

DOI
https://doi.org/10.1140/epjc/s10052-024-12659-z
Journal volume & issue
Vol. 84, no. 4
pp. 1 – 8

Abstract

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Abstract In this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to construct the Darboux transformation for the nonlocal sine-Gordon equation. In particular, various types of solutions are obtained by taking a seed solution, such as, soliton solutions, kink solutions, mixed solutions.