Stable-Range Approach to the Equation of Nonstationary Transonic Gas Flows

TL;DR

This paper introduces a stable-range method to derive large families of exact solutions for the complex nonlinear equations governing nonstationary transonic gas flows, extending to three dimensions.

Contribution

It presents a novel stable-range approach that generates extensive exact solutions for the nonstationary transonic gas flow equations and their 3D generalization.

Findings

Large families of exact solutions obtained

Method applicable to 3D transonic flow equations

Enhances understanding of nonlinear transonic flow behavior

Abstract

Using certain finite-dimensional stable range of the nonlinear terms, we obtain large families of exact solutions parameterized by functions for the equation of nonstationary transonic gas flows discovered by Lin, Reisner and Tsien, and its three-dimensional generalization.