Article citationsMore>>

Chowdury, A., Kedziora, D.J., Ankiewicz, A. and Akhmediev, N. (2015) Breather-to-Soliton Conversions Described by the Quintic Equation of the Nonlinear Schrödinger Hierarchy. Physical Review E, 91, Article 032928.
https://doi.org/10.1103/physreve.91.032928

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.