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Sang, X., Dong, H., Fang, Y., Liu, M. and Kong, Y. (2024) Soliton, Breather and Rogue Wave Solutions of the Nonlinear Schrödinger Equation via Darboux Transformation on a Time-Space Scale. Chaos, Solitons & Fractals, 184, Article 115052.
https://doi.org/10.1016/j.chaos.2024.115052

has been cited by the following article:

• TITLE: Breather Solutions and Their Transformation Mechanisms of the (2 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation

  AUTHORS: Xingqi Xiao

  KEYWORDS: Hirota Bilinear Method, The (2 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation, Characteristic Line, Breather

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.3, March 24, 2025

  ABSTRACT: In this paper, we investigate the transformation phenomenon of the first-order breather and the second-order breather. First, we obtain the 2-solitary wave and 4-solitary wave solutions of the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation by using the Hirota bilinear method. Then by analyzing and controlling characteristic lines, we derive several types of nonlinear transformantion waves and give the corresponding figures.