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Abstract
In the work, we deduce the evolution of scattering data for a spectral problem associated with the nonlinear evolutionary equation of Harry Dym with a self-consistent source of integral type. The obtained equalities completely determine the scattering data for any $t$, which makes it possible to apply the method of the inverse scattering problem to solve the Cauchy problem for the Harry Dym equation with an integral type source.
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Schedule a callMore From: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
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