Integration of the Harry Dym equation with an integral type source | Zendy

G. U. Urazboev | Zendy; A. K. Babadjanova | Zendy; D.R. Saparbaeva | Zendy

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Integration of the Harry Dym equation with an integral type source

Author(s) -

G. U. Urazboev,

A. K. Babadjanova,

D.R. Saparbaeva

Publication year - 2021

Publication title -

vestnik udmurtskogo universiteta matematika mekhanika komp yuternye nauki

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.354

H-Index - 8

eISSN - 2076-5959

pISSN - 1994-9197

DOI - 10.35634/vm210209

Subject(s) - integral equation , inverse scattering problem , type (biology) , inverse scattering transform , scattering , mathematics , cauchy distribution , mathematical analysis , inverse problem , initial value problem , physics , optics , geology , paleontology

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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