Journal
COMPUTERS & FLUIDS
Volume 119, Issue -, Pages 143-148Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2015.06.033
Keywords
(2+1)-dimensional Zakharov-Kuznetsov-Burgers equation; Lie symmetry analysis; Nonlinear self-adjointness; Conservation laws
Funding
- China Scholarship Council [201406030057]
- National Natural Science Foundation of China (NNSFC) [11171022]
- Graduate Student Science and Technology Innovation Activities of Beijing Institute of Technology [2014cx10037]
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This paper addresses an extended (2+1)-dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation. The nonlinear self-adjointness condition for the ZKB equation is established and subsequently used to construct simplified but infinitely many nontrivial and independent conserved vectors. In particular, we also get conservation laws of the equation with the corresponding Lie symmetry. (c) 2015 Elsevier Ltd. All rights reserved.
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