Advances in Differential Equations and Control Processes
Volume 20, Issue 1, Pages 17 - 36
(February 2019) http://dx.doi.org/10.17654/DE020010017 |
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SYMMETRY ANALYSIS, EXACT SOLUTIONS AND POWER SERIES SOLUTIONS OF DISSIPATIVE HYPERBOLIC GEOMETRY FLOW
Ben Gao and Yao Zhang
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Abstract: In this paper, we exploit the Lie group method to analyse the group-invariant solutions of a new kind of hyperbolic geometric flow-dissipative hyperbolic geometric flow. By constructing the optimal systems of one-dimensional subalgebras, our goal is to perform the similarity reductions and obtain exact solutions of dissipative hyperbolic geometric flow. Then the explicit solutions are constructed by the power series method. Moreover, the convergence of the power series solutions is discussed. |
Keywords and phrases: dissipative hyperbolic geometric flow, symmetry reduction, optimal system, power series solutions.
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