论文标题
新的高阶$ $ $ -CAMASSA-HOLM方程的周期性峰的轨道稳定性
Orbital stability of periodic peakons for a new higher-order $μ$-Camassa-Holm equation
论文作者
论文摘要
这里的考虑是一个高阶$ $ $ camassa-holm方程，它是$ $ $ $ camassa-holm方程的高阶扩展，并保留了$μ$ -CAMASSA-HOLM方程的某些属性和修改后的$ $ $ -CAMASSA-HOLMEQUATION。通过利用与前三个保护法相关的最大和最小解决方案的不平等现象，我们确定该方程的周期性峰值在能量空间中的小扰动下是轨道稳定的。
Consideration here is a higher-order $μ$-Camassa-Holm equation, which is a higher-order extension of the $μ$-Camassa-Holm equation and retains some properties of the $μ$-Camassa-Holm equation and the modified $μ$-Camassa-Holm equation. By utilizing the inequalities with the maximum and minimum of the solution related to the first three conservation laws, we establish that the periodic peakons of this equation are orbitally stable under small perturbations in the energy space.
