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

Аннотация

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.