Journal
MODERN PHYSICS LETTERS B
Volume 34, Issue 1, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984920500128
Keywords
Oskolkov-Benjamin-Bona-Mahony-Burgers equation; extended (G'/G)-method; conservation laws; lie symmetries
Funding
- SERB, the Department of Science and Technology, Government of India [CRG/2018/000725]
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In this paper, the Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation has been investigated by Lie symmetry analysis. Lie group analysis method is implemented to derive the vector fields and symmetry reductions. The OBBMB equation has been reduced into nonlinear ordinary differential equation (ODE) by exploiting symmetry reduction method. Using the similarity reduction equation, the exact solutions are obtained by extended (G'/G)-method. Finally, the new conservation theorem proposed by Ibragimov has been utilized to construct the conservation laws of the aforesaid equation.
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