Exact solution of generalized inviscid Burgers' equation

Details Exact solution of generalized inviscid Burgers' equation Exact solution of generalized inviscid Burgers' equation

2009-08-25

arxiv.org/abs/0908.3601v1

Mathematics

Differential Geometry

5 pages

Scientific paper

Let $f,g:{\Bbb R}\to{\Bbb R}$ be integrable functions, $f$ nowhere zero, and
$\phi (u)=\int du/f(u)$ be invertible. An exact solution to the generalized
nonhomogeneous inviscid Burgers' equation $u_t+g(u).u_x=f(u)$ is given, by
quadratures.

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