Periodic and Soliton Solutions of an Integral-Differential Equation in the Theory of Transonic Flows with Free Interaction

We consider in this work a nonlinear integral-differential equation, to which it is possible to reduce the description of transonic motions in some cases and which turns into the Benjamin-Ono equation in certain limiting situations. The exact solutions in the form of solitary and periodic waves are...

Full description

Saved in:
Bibliographic Details
Published in:Fluid dynamics 2018-12, Vol.53 (Suppl 2), p.64-73
Main Author: Zhuk, V. I.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Classical Mechanics
Differential equations
Engineering Fluid Dynamics
Fluid- and Aerodynamics
Integrals
Physics
Physics and Astronomy
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider in this work a nonlinear integral-differential equation, to which it is possible to reduce the description of transonic motions in some cases and which turns into the Benjamin-Ono equation in certain limiting situations. The exact solutions in the form of solitary and periodic waves are specified.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462818060101