Scaling Symmetry and a New Conservation Law of the Harry Dym Equation

Autor: Mehdi Jafari, Amirhesam Zaeim, Somayesadat Mahdion
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics Interdisciplinary Research, Vol 6, Iss 2, Pp 151-158 (2021)
Druh dokumentu: article
ISSN: 2476-4965
DOI: 10.22052/mir.2021.240441.1270
Popis: 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.
Databáze: Directory of Open Access Journals