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Self-similar solutions to Lin-Reissner-Tsien equation

Self-similar solutions to Lin-Reissner-Tsien equation
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摘要 The Lin-Reissner-Tsien equation describes unsteady transonic flows under the transonic approximation. In the present paper, the equation is reduced to an ordinary differential equation via a similarity transformation. The resulting equation is then solved analytically and even exactly in some cases. Numerical simulations are provided for the cases in which there is no exact solution. Travelling wave solutions are also obtained. The Lin-Reissner-Tsien equation describes unsteady transonic flows under the transonic approximation. In the present paper, the equation is reduced to an ordinary differential equation via a similarity transformation. The resulting equation is then solved analytically and even exactly in some cases. Numerical simulations are provided for the cases in which there is no exact solution. Travelling wave solutions are also obtained.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第11期1447-1456,共10页 应用数学和力学(英文版)
关键词 Lin-Reissner-Tsien equation self-similar solution transonic approximation nonlinear partial differential equation Lin-Reissner-Tsien equation, self-similar solution, transonic approximation,nonlinear partial differential equation
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