Article

Solution of the Goursat Problem for the Boussinesq–Love Equation with the Bessel Operator by the Method of Transmutation Operators

Sh. T. KarimovFergana State University, 150100, Fergana, UzbekistanSh. A. OripovFergana State University, 150100, Fergana, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2023en

ABI

Abstract

In this paper, we use the fractional-order Erdélyi–Kober operator as a transmutation operator. Applying this operator, the formulated Goursat problem for the Boussinesq–Love equation with singular coefficients has been reduced to a similar problem for the Boussinesq–Love equation without singular coefficients. The solution to this auxiliary problem has been constructed explicitly by the Riemann method. Then, on its basis, an exact solution to the original problem is constructed.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Advanced Mathematical Physics Problems

Identifiers

DOI: 10.1134/s1995080223080255

Citations and references

Cited by 2 15 references

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