Article
Ufa Mathematical Journal
Volume 3, Number 2, pp. 10-18
About the Camassa-Holm equation with self-consistent source
Baltaeva I.I., Urazboev G.U.
Download PDF
Article on MathNetAbstact
This work is devoted to solving the Camassa-Holm equation with self-consistent source of a special type via inverse scattering method. The main result consist of determination the evolution of scattering data for the spectral problem associated with the Camassa-Holm equation with self-consistent source of a special type. In contrast to the classical Camassa-Holm equation, in the considered problem, the eigenvalues of spectral problem are moving. The equalities obtained determine completely the evolution of the scattering data; this fact allows us to apply the inverse scattering method for solve of considered problem