TY - JOUR
ID - 111506
TI - Scaling Symmetry and a New Conservation Law of the Harry Dym Equation
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Jafari, Mehdi
AU - Zaeim, Amirhesam
AU - Mahdion, Somayesadat
AD - Department of Mathematics, Payame Noor University, P. O. BOX 19395-3697, Tehran, Iran
Y1 - 2021
PY - 2021
VL - 6
IS - 2
SP - 151
EP - 158
KW - Harry Dym equation
KW - conversation laws
KW - scaling symmetry
KW - homotopy operator
DO - 10.22052/mir.2021.240441.1270
N2 - In this paper, we obtain a new conservation law for the Harry Dym equation by using the scaling method. This method is algorithmic and based on variational calculus and linear algebra. In this method, the density of the conservation law is constructed by considering the scaling symmetry of the equation and the associated flux is obtained by the homotopy operator. This density-flux pair gives a conservation law for the equation. A conservation law of rank 7 is constructed for the Harry Dym equation.
UR - https://mir.kashanu.ac.ir/article_111506.html
L1 - https://mir.kashanu.ac.ir/article_111506_624a8d3e8c7879cf5bab2580b9c13946.pdf
ER -