Breather Solutions for the Two-Component Coupled-Higgs Equations Based on the Bilinear Method

呼吸子解作为一种重要的局域波解，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，构造出Coupled-Higgs方程的双线性形式，然后结合特殊的幂级数展开，求出Coupled-Higgs方程的呼吸II型解，为了进一步验证和展示理论结果，利用Mathematica对呼吸波进行了可视化。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.