Article

Integration of the Harry Dym equation with an integral type source

G. U. UrazboevUrgench State University; V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of SciencesA. K. BabadjanovaV. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of SciencesDilbar SaparbaevaUrgench State University

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Naukijournal2021en

ABI

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.

Topics

advanced mathematical theories Numerical methods in inverse problems

Identifiers

DOI: 10.35634/vm210209

Citations and references

Cited by 4 11 references

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