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

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.

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Publication Details

Journal
Journal of Applied Mathematics and Physics
Published
2025-01-01
DOI
https://doi.org/10.4236/jamp.2025.133045
Primary Topic
Nonlinear Waves and Solitons
Type
article
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article

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

Xufeng Xiao
Journal of Applied Mathematics and Physics
Nonlinear Waves and Solitons
article

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

Xufeng Xiao
article en

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.

Journal of Applied Mathematics and PhysicsVol. 13(03)
University of Shanghai for Science and Technology (CN)
Openalex Percentile: Top 95%
Nonlinear Waves and Solitons
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