4.7 Article

The complex-valued astigmatic cosine-Gaussian soliton solution of the nonlocal nonlinear Schrodinger equation and its transmission characteristics

Journal

APPLIED MATHEMATICS LETTERS
Volume 125, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107755

Keywords

Nonlocal nonlinear Schrö dinger equation; Complex-valued soliton solution; Nonlinear transmission

Funding

  1. National Natural Science Foundation of China [12074098]
  2. Hebei Provincial Natural Science Foundation of China [A2020205009, F2018205178]
  3. Innovation Funding Project for Graduate Students of Hebei Normal University of China [CXZZSS2021049]

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The study presents the complex-valued astigmatic cosine-Gaussian (CVACG) soliton solution of the nonlocal nonlinear Schrodinger equation and discusses its transmission characteristics in highly nonlocal nonlinear optical systems. It is found that CVACG beams can form spatial solitons and breathers with special transverse distribution during the transmission process in highly nonlocal nonlinear optical systems.
The complex-valued astigmatic cosine-Gaussian (CVACG) soliton solution of the nonlocal nonlinear Schrodinger equation is presented, and its transmission characteristics in the highly nonlocal nonlinear optical system are discussed. In the highly nonlocal nonlinear optical system, the transverse pattern of CVACG beams is diversified and controllable. In the transmission process, CVACG beams can form spatial solitons and breathers with the special transverse distribution. The two-dimensional transverse equivalent opposite evolution of the second-order moment beam width can be formed. (c) 2021 Elsevier Ltd. All rights reserved.

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