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


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Abstract

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.

About the authors

V. I. Zhuk

Dorodnitsyn Computing Center

Author for correspondence.
Email: pmmedit@ipmnet.ru
Russian Federation, Moscow, 119333

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