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Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations

Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010000, China
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Symmetry 2019, 11(10), 1319; https://doi.org/10.3390/sym11101319
Received: 21 September 2019 / Revised: 12 October 2019 / Accepted: 17 October 2019 / Published: 21 October 2019
In this paper, the Lie symmetries of the Jaulent-Miodek (JM) equations are calculated and one dimensional optimal systems of Lie algebra are obtained. Furthermore, the conservation laws are constructed by using the adjoint equation method. Finally, the exact solutions of the equations are obtained by the conservation laws. View Full-Text
Keywords: jaulent-miodek equations; lie symmetries; optimal systems; conservation laws; exact solutions jaulent-miodek equations; lie symmetries; optimal systems; conservation laws; exact solutions
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Pei, J.-T.; Bai, Y.-S. Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations. Symmetry 2019, 11, 1319.

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