| Volume 10, Number 5, 2020, Pages 2163-2183 DOI：10.11948/20190360 |
| A basis of hierarchy of generalized symmetries and their conservation laws for the (3+1)-dimensional diffusion equation |
| Jean Juste Harrisson Bashingwa,Abdul Kara |
| Keywords:Recursion operators, generalized symmetries, conservation laws. |
| Abstract: |
| We determine, by hierarchy, dependencies between higher order linear symmetries which occur when generating them using recursion operators. Thus, we deduce a formula which gives the number of independent generalized symmetries (basis) of several orders. We construct a basis for conservation laws (with respect to the group admitted by the system of differential equations) and hence generate infinitely many conservation laws in each equivalence class. |
PDF Download reader
|
|
|
|