Volume 25, Issue 1, February 2018, Pages 122 - 135
Conservation Laws of The Generalized Riemann Equations
Binfang Gao, Kai Tian*, Q. P. Liu, Lujuan Feng
Department of Mathematics, China University of Mining and Technology, Beijing, 100083, People’s Republic of China,email@example.com
Received 7 June 2017, Accepted 23 October 2017, Available Online 6 January 2021.
- 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.
- © 2018 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Binfang Gao AU - Kai Tian AU - Q. P. Liu AU - Lujuan Feng PY - 2021 DA - 2021/01/06 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 - 10.1080/14029251.2018.1440746 ID - Gao2021 ER -