Journal
CHAOS SOLITONS & FRACTALS
Volume 86, Issue -, Pages 8-15Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2016.02.013
Keywords
Fifth order KdV equation; Symmetry analysis; Exact solutions; Conservation laws
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Funding
- Research Project International Graduate Exchange Program of Beijing Institute of Technology
- National Natural Science Foundation of China (NNSFC) [11171022]
- Graduate Student Science and Technology Innovation Activities of Beijing Institute of Technology [2014cx10037]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0946431] Funding Source: National Science Foundation
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We study the generalized fifth order KdV equation using group methods and conservation laws. All of the geometric vector fields of the special fifth order KdV equation are presented. By using the nonclassical Lie group method, it is show that this equation does not admit nonclassical type symmetries. Then, on the basis of the optimal system, the symmetry reductions and exact solutions to this equation are constructed. For some special cases, we obtain additional nontrivial conservation laws and scaling symmetries. (C) 2016 Elsevier Ltd. All rights reserved.
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