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| Title: | Leading order integrability conditions for differential-difference equations |
| Authors: | Hickman, M.S. |
| Issue Date: | 2008 |
| Citation: | Mark S Hickman (2008) Leading order integrability conditions for differential-difference equations. Journal of Nonlinear Mathematical Physics, 15(1), pp. 66-86. |
| Abstract: | A necessary condition for the existence of conserved densities, ρ, and fluxes of a
differential-difference equation which depend on q shifts, for q sufficiently large, is
presented. This condition depends on the eigenvalues of the leading terms in the
differential-difference equation. It also gives, explicitly, the leading integrability conditions
on the density in terms of second derivatives of ρ. |
| Publisher: | University of Canterbury. Mathematics and Statistics. |
| Research Fields: | Fields of Research::230000 Mathematical Sciences::230100 Mathematics::230107 Differential, difference and integral equations |
| URI: | http://hdl.handle.net/10092/1834 |
| Rights URI: | http://library.canterbury.ac.nz/ir/rights.shtml |
| Appears in Collections: | Journal Articles
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