Conservation Laws of The Generalized Riemann Equations |
| |
| Authors: | Binfang Gao Q. P. Liu Lujuan Feng |
| |
| Affiliation: | Department of Mathematics, China University of Mining and Technology, Beijing, 100083, People’s Republic of China |
| |
| Abstract: | Two special classes of conserved densities involving arbitrary smooth functions are explicitly formulated for the generalized Riemann equation at arbitrary N. The particular case when N = 2 covers most of the known conserved densities of the equation, and the result is also extended to the famous Gurevich-Zybin, Monge-Ampere and two-component Hunter-Saxton equations by considering certain reductions. |
| |
| Keywords: | conserved densities generalized Riemann equation Gurevich-Zybin equation Monge-Ampere equation reciprocal transformation |
|
