Group analysis,exact solutions and conservation laws of a generalized fifth order KdV equation |
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| Institution: | 1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, PR China;2. School of Mathematics, University of the Witwatersrand, Johannesburg Wits 2050, South Africa;3. Department of Mathematics, University of British Columbia, Vancouver V6T 1Z2, Canada;4. Department of Mathematics, Howard University, Washington, DC 20059, USA;5. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA;6. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;7. Department of Mathematics, Faculty of Science and Horticulture, Kwantlen Polytechnic University, Surrey, BC V3W 2MB, Canada |
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| Abstract: | 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. |
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