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.
Rashidi, S., & Hejazi, S. R. (2020). Self-adjointness, conservation laws and invariant solutions of the Buckmaster equation. Computational Methods for Differential Equations, 8(1), 85-98. doi: 10.22034/cmde.2019.9463
MLA
Saeede Rashidi; Seyed Reza Hejazi. "Self-adjointness, conservation laws and invariant solutions of the Buckmaster equation". Computational Methods for Differential Equations, 8, 1, 2020, 85-98. doi: 10.22034/cmde.2019.9463
HARVARD
Rashidi, S., Hejazi, S. R. (2020). 'Self-adjointness, conservation laws and invariant solutions of the Buckmaster equation', Computational Methods for Differential Equations, 8(1), pp. 85-98. doi: 10.22034/cmde.2019.9463
VANCOUVER
Rashidi, S., Hejazi, S. R. Self-adjointness, conservation laws and invariant solutions of the Buckmaster equation. Computational Methods for Differential Equations, 2020; 8(1): 85-98. doi: 10.22034/cmde.2019.9463
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