On the solution of the equation ut+unux+H(x, t, u)=0

Joseph, K. T. ; Sachdev, P. L. (1994) On the solution of the equation ut+unux+H(x, t, u)=0 Quarterly of Applied Mathematics, 52 (3). pp. 519-527. ISSN 0033-569X

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Abstract

We consider the equation u(t) + u(n)u(x) + H(x, t, u) = 0 and derive a transformation relating it to u(t) + u(n)u(x) = 0. Special cases of the equation appearing in applications are discussed. Initial value problems and asymptotic behaviour of the solution are studied.

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ID Code:83195
Deposited On:16 Feb 2012 12:12
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