TY - JOUR
ID - 4382
TI - Dym equation: group analysis and conservation laws
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Hejazi, S. Reza
AU - Naderifard, Azadeh
AD - Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran
Y1 - 2022
PY - 2022
VL - 3
IS - 1
SP - 17
EP - 26
KW - Dym equation
KW - Non-linear self-adjointness
KW - Lie point symmetries
KW - Conservation laws
DO - 10.22060/ajmc.2021.19680.1050
N2 - In this paper group-invariant properties of the Dym equation are studied. Lie symmetries are given and some group-invariant solutions are found with the use of similarity variables obtained from these operators. Conservation laws are computed via three methods. Direct method for construction of conservation laws is introduced by the concept of multipliers and Euler-Lagrange operator. Next, the non-linearly self-adjointness of the considered PDE is stated. Then, the modified Noetherâ€™s theorem is used for finding conservation laws. Finally, the third method is established via the Hereman-Pole method by using the evolutionary form of the equation.
UR - https://ajmc.aut.ac.ir/article_4382.html
L1 - https://ajmc.aut.ac.ir/article_4382_055ceeb805f167305c236103d1b71433.pdf
ER -