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Online ISSN 1552-4485; Print ISSN 0033-569X
On the solution of the equation $u_t+u^n u_x+H(x,t,u)=0$
Authors:
K. T. Joseph and P. L. Sachdev
Journal:
Quart. Appl. Math. 52 (1994), 519-527
MSC:
Primary 35L65; Secondary 35Q53
DOI:
https://doi.org/10.1090/qam/1292202
MathSciNet review:
MR1292202
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We consider the equation ${u_t} + {u^n}{u_x} + H\left ( x, t, u \right ) = 0$ 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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Article copyright:
© Copyright 1994
American Mathematical Society