ANALYTICAL SOLUTIONS OF THE WAVE EQUATION AND THE DIFFRACTION PROBLEM

Authors

  • T. A. Djalilova Associate Professor, Andijan State Technical Institute, Candidate of Physical and Mathematical Sciences, PhD

Keywords:

wave equation, homogeneous differential equation, diffraction, spherical wave, source on a wedge, Laplace equation, general and particular equations, semi-infinite plate, incident cylindrical wave, potential.

Abstract

 The paper "Diffraction of an Arbitrary Acoustic Wave by a Wedge" presents exact solutions f`or cylindrical and spherical waves that allow solving the diffraction problem for waves from spatial and planar sources. In the present work, the class of exact solutions is substantially extended. The diffraction problem for a wave from a planar source on a semi-infinite plate is solved in closed form.

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References

Filippov A. F. Diffraction of an arbitrary acoustic wave by a wedge. Journal of Applied Mathematics and Mechanics (PMM), 1964, Vol. 28, No. 4.

Gurevich M. I. On the problem of a thin triangular wing moving at supersonic speed. PMM, 1947, Vol. 11, No. 3.

Tretyakov V. V. On the reduction of the solution of the wave equation in space to the self-similar case and its connection to the Laplace equation. Abstracts of the IV All-Union Symposium on the Propagation of Elastic and Elasto-Plastic Waves, Kishinev, 1968.

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Published

2026-04-30

How to Cite

T. A. Djalilova. (2026). ANALYTICAL SOLUTIONS OF THE WAVE EQUATION AND THE DIFFRACTION PROBLEM. Journal of Applied Science and Social Science, 16(4), 1347–1351. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/4229

Issue

Vol. 16 No. 4 (2026): Journal of Applied Science and Social Science

Section

Articles

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