%0 Journal Article
%T 基于双线性方法求两分量Coupled-Higgs方程的呼吸子解<br>Breather Solutions for the Two-Component Coupled-Higgs Equations Based on the Bilinear Method
%A 吕梦琦
%J Pure Mathematics
%P 50-57
%@ 2160-7605
%D 2025
%I Hans Publishing
%R 10.12677/pm.2025.155152
%X 呼吸子解作为一种重要的局域波解&#65292;在非线性波动力学中扮演重要的角色。本文利用Hirota双线性方法&#65292;构造出Coupled-Higgs方程的双线性形式&#65292;然后结合特殊的幂级数展开&#65292;求出Coupled-Higgs方程的呼吸II型解&#65292;为了进一步验证和展示理论结果&#65292;利用Mathematica对呼吸波进行了可视化。<br>Breather solutions, as an important type of localized wave solution, play a significant role in nonlinear wave dynamics. In this paper, the Hirota bilinear method is employed to construct the bilinear form of the Coupled-Higgs equation. Then, by combining a special power series expansion, the Breather Type II solutions of the Coupled-Higgs equation are derived. To further validate and illustrate the theoretical results, the breather waves are visualized using Mathematica.
%K 孤子解&#65292
%K 呼吸II型解&#65292
%K Hirota方法&#65292
%K Coupled-Higgs方程<br>Soliton Solutions
%K Breather-II Solutions
%K Hirota Method
%K Coupled-Higgs Equation
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=114167