Open AccessOn a hyperbolic system of equations in the problem of unsteady fluid motion
Author(s) -
E. Y. Grazhdantseva,
Svetlana Solodusha
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1847/1/012005
Subject(s) - nonlinear system , partial differential equation , integrable system , mathematics , motion (physics) , mathematical analysis , hyperbolic partial differential equation , equations of motion , reduction (mathematics) , constant (computer programming) , function (biology) , fluid motion , fluid dynamics , classical mechanics , physics , computer science , mechanics , geometry , quantum mechanics , evolutionary biology , biology , programming language
We consider a nonlinear system of the first-order partial differential equations with constant coefficients admitting a solution of the traveling wave type. Such systems are used in applied research to describe the dynamics of unsteady water movement in a pressure pipeline. In this paper, we propose methods for obtaining exact solutions in the case of an inhomogeneous equation of fluid motion under restrictions on the right-hand side in the form of a function. A special feature of the present research is reduction of the problem under study to the equations integrable in elementary functions.