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- W1668099350 abstract "We prove that, for $mge 7$, scalar evolution equations of the form $u_t=F(x,t,u,...,u_m)$ which admit a nontrivial conserved density of order $m+1$ are linear in $u_m$. The existence of such conserved densities is a necesary condition for integrability in the sense of admitting a formal symmetry, hence integrable scalar evolution equations of order $mge 7$ are quasilinear." @default.
- W1668099350 created "2016-06-24" @default.
- W1668099350 creator A5058958998 @default.
- W1668099350 date "2004-03-17" @default.
- W1668099350 modified "2023-09-27" @default.
- W1668099350 title "On the Classification of Scalar Non-Polynomial Evolution Equations: Quasilinearity" @default.
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