University of Tabriz Computational Methods for Differential Equations 2345-3982 8 1 2020 01 01 Self-adjointness‎, ‎conservation laws and invariant solutions of the Buckmaster equation 85 98 9463 10.22034/cmde.2019.9463 EN Saeede Rashidi Faculty of mathematical sciences, Shahrood university of technology, Shahrood, Semnan, Iran. Seyed Reza Hejazi Faculty of mathematical sciences, Shahrood university of technology, Shahrood, Semnan, Iran. Journal Article 2018 02 21 The present paper considers the group analysis of extended (1 + 1)-dimensional Buckmaster equation and its conservation laws. Symmetry operators of Buckmaster equation are found via Lie algorithm of differential equations. The method of non-linear self-adjointness is applied to the considered equation. The infinite set of conservation laws associated with the finite algebra of Lie point symmetries of the Buckmaster equation is computed. The corresponding conserved quantities are obtained from their respective densities. Furthermore, the similarity reductions corresponding to the symmetries of the equation are constructed.<br />   https://cmde.tabrizu.ac.ir/article_9463_f78862000f96b1af77f85835ebfa8af1.pdf