Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9662392 | Computers & Mathematics with Applications | 2005 | 12 Pages |
Abstract
We prove that, for m ⥠7, scalar evolution equations of the form ut = F(x, t, u, â¦, um) which admit a nontrivial conserved density of order m + 1 are linear in um. The existence of such conserved densities is a necessary condition for integrability in the sense of admitting a formal symmetry, hence, integrable scalar evolution equations of order m ⥠7, admitting nontrivial conserved densities are quasilinear.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
A.H. Bilge,