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Integration of Camassa-Holm equation with a self-consistent source of integral type

Integration of Camassa-Holm equation with a self-consistent source of integral type

The work is devoted to studying Camassa-Holm equation with a self-consistent source of integral type.The source of the consistent equation corresponds to the continuous spectrum of a spectral problem related with the Camassa-Holm equation.As it is known, integrable systems admit operator Lax representation = [, ], where is a linear …