Classification Of Self-Similar Solutions To A Generalized Burgers-Equation

    Authors

    E. Soewono;L. Debnath

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    Mathematics, Applied; Mathematics

    Abstract

    A complete classification for the self-similar solutions to the generalized Burgers equation u(1)+u(beta)u(x)=t(N)u(xx) of the form u(t, n)=A(1)t(-(1-N)/2 beta)F(eta), where eta=A(2)xt(-(1+N)/2), A(2)=1/root 2A, and A(1)=(2A(2))(-1/beta) is obtained. The result gives an analytic justification to the result of Sachdev, Nair, and Tikekar [3] obtained through numerical and linear analysis. We also show the type of decay of the solutions at +/- infinity and the existence of periodic solutions if and only if N=-1 and beta=r/s where r and s are odd. (C) 1994 Academic Press, Inc.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    184

    Issue/Number

    2

    Publication Date

    1-1-1995

    Document Type

    Article

    Language

    English

    First Page

    389

    Last Page

    398

    WOS Identifier

    WOS:A1994NT48600015

    ISSN

    0022-247X

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