A dressing method is applied to a matrix Lax pair for the Camassa–Holm equation, thereby allowing for the construction of several global solutions of the system. In particular, solutions of system of soliton and cuspon type are constructed explicitly. The interactions between soliton and cuspon solutions of the system are investigated. The geometric aspects of the Camassa–Holm equation are re-examined in terms of quantities which can be explicitly constructed via the inverse scattering method.

中文翻译：

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Camassa–Holm Cuspons，孤子及其通过敷料法的相互作用

修整方法应用于Camassa-Holm方程的矩阵Lax对，从而允许构造系统的多个全局解。特别是，构造了孤子和cuspon型系统的解。研究了系统的孤子和cuspon解之间的相互作用。从数量上可以重新检查Camassa–Holm方程的几何方面，可以通过逆散射方法明确地构造它们。