Self-similar solutions to Lin-Reissner-Tsien equation

    Authors

    J. Haussermann; K. Vajravelu;R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Appl. Math. Mech.-Engl. Ed.

    Keywords

    Lin-Reissner-Tsien equation; self-similar solution; transonic; approximation; nonlinear partial differential equation; TRANSONIC-FLOWS; Mathematics, Applied; Mechanics

    Abstract

    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.

    Journal Title

    Applied Mathematics and Mechanics-English Edition

    Volume

    32

    Issue/Number

    11

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    1447

    Last Page

    1456

    WOS Identifier

    WOS:000296922300009

    ISSN

    0253-4827

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