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Integration of the General Loaded Korteweg–de Vries Equation with an Integral Type Source in the Class of Rapidly Decreasing Complex-Valued Functions

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Abstract

In this paper, the evolution of the scattering data of the Sturm–Liouville operator is derived by the method of the inverse scattering problem, here the potential of operator is a solution to the general loaded Korteweg–de Vries equation in the class of rapidly decreasing complex-valued functions.

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Authors and Affiliations

  1. Samarkand State University, 15 University blvd., 140104, Samarkand, Republic of Uzbekistan

    A. B. Khasanov

  2. Khorezm Branch of the Romanovsky Institue of Mathematics, Urgench State University, 220100, 14 Kh. Alimdjan, Urgench, Republic of Uzbekistan

    U. A. Hoitmetov

Authors
  1. A. B. Khasanov
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  2. U. A. Hoitmetov
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Corresponding authors

Correspondence to A. B. Khasanov or U. A. Hoitmetov.

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Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 7, pp. 52–66.

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Khasanov, A.B., Hoitmetov, U.A. Integration of the General Loaded Korteweg–de Vries Equation with an Integral Type Source in the Class of Rapidly Decreasing Complex-Valued Functions. Russ Math. 65, 43–57 (2021). https://doi.org/10.3103/S1066369X21070069

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  • DOI: https://doi.org/10.3103/S1066369X21070069

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