Conservation Laws of The Generalized Riemann Equations
- https://doi.org/10.1080/14029251.2018.1440746How to use a DOI?
- conserved densities, generalized Riemann equation, Gurevich-Zybin equation, Monge-Ampere equation, reciprocal transformation
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.
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Cite this article
TY - JOUR AU - Binfang Gao AU - Kai Tian AU - Q. P. Liu AU - Lujuan Feng PY - 2021 DA - 2021/01 TI - Conservation Laws of The Generalized Riemann Equations JO - Journal of Nonlinear Mathematical Physics SP - 122 EP - 135 VL - 25 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1440746 DO - https://doi.org/10.1080/14029251.2018.1440746 ID - Gao2021 ER -