Document Type
Other
Publication Date
Fall 8-28-2012
Abstract
In this worksheet we symbolically construct the formal inverse of the total derivative operator and use it to construct the recursion operator for the higher-order symmetries of the KdV equation. Using this recursion operator we generate the first 5 generalized symmetries of the KdV equation and verify that they all commute.
PDF and Maple worksheets can be downloaded from the links below.
Recommended Citation
Anderson, Ian M., "Higher Order Symmetries of the KdV Equation" (2012). Research Vignettes. Paper 2.
https://digitalcommons.usu.edu/dg_applications/2
Additional Files
HigheOrderSymmetriesOfTheKdVEquation.pdf (209 kB)HigheOrderSymmetriesOfTheKdVEquation.mw (201 kB)