On the integration of the periodic Camassa-Holm equation with a loaded term.

In this paper, we consider the Cauchy problem for the Camassa-Holm equation with a loaded term in the class of periodic functions. The main result of this work is a theorem on the evolution of the spectral data of the weighted Sturm-Liouville operator whose potential is a solution to the periodic Camassa-Holm equation with a loaded term. The obtained equality (9) allows us to apply the method of the inverse spectral transform to solve the Cauchy problem for the periodic Camassa-Holm equation with a loaded term. [ABSTRACT FROM AUTHOR]