Abstract
In this paper, we primarily investigate Lie symmetry analysis and exact solutions for the coupled integrable dispersionless equations. First of all, based on the Lie symmetry analysis, an optimal system of one-dimensional subalgebras is constructed. Furthermore, similarity reductions and group invariant solutions are given. Next, exact solutions of the reduced equations have been derived by the method of power series. Finally, by means of Ibragimov’s method, conservation laws are obtained.
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Acknowledgements
This research is sponsored by the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (No. 2017116) and the Natural Science Foundation of Shanxi (No. 201801D121018).
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Zhang, Y., Gao, B. Lie symmetry analysis for the coupled integrable dispersionless equations. Pramana - J Phys 93, 100 (2019). https://doi.org/10.1007/s12043-019-1857-5
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DOI: https://doi.org/10.1007/s12043-019-1857-5