Article citationsMore>>

Zayed, E.M.E. and Al-Nowehy, A. (2017) The Solitary Wave Ansatz Method for Finding the Exact Bright and Dark Soliton Solutions of Two Nonlinear Schrödinger Equations. Journal of the Association of Arab Universities for Basic and Applied Sciences, 24, 184-190.
https://doi.org/10.1016/j.jaubas.2016.09.003

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.