Integration of the generalized Camassa–Holm equation in the class of periodic functions

Аннотация

We study periodic solutions of the generalized Camassa–Holm equation (CH- $$\gamma$$ equation). We show that the generalized CH- $$\gamma$$ equation is also an important theoretical model because it is a completely integrable system. We obtain representation for periodic solutions of the generalized CH- $$\gamma$$ equation in the framework of the inverse spectral problem for a weighted Sturm–Liouville operator.

Темы

Идентификаторы

DOI

10.1134/s0040577925040075

Цитирования и источники