Exact solution of generalized inviscid Burgers' equation
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🧮 math.DG
math.AP
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burgersequationexactgeneralizedinviscidsolutionfunctionsgiven
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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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