Article citationsMore>>

Tajiri, M. and Watanabe, Y. (1997) Periodic Soliton Solutions as Imbricate Series of Rational Solitons: Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion. Journal of Nonlinear Mathematical Physics, 4, 350-357.
https://doi.org/10.2991/jnmp.1997.4.3-4.9

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.